Graph -1/3(x-3)=(y+5)^2

$- \frac{1}{3} (x - 3) = {(y + 5)}^{2}$

Step 1

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{1}{3} \cdot (x - 3)) = - 3 {(y + 5)}^{2}$

Step 2

Simplify the left side.

Simplify $- 3 (- \frac{1}{3} \cdot (x - 3))$ .

Apply the distributive property.

$- 3 (- \frac{1}{3} x - \frac{1}{3} \cdot - 3) = - 3 {(y + 5)}^{2}$

Combine $x$ and $\frac{1}{3}$ .

$- 3 (- \frac{x}{3} - \frac{1}{3} \cdot - 3) = - 3 {(y + 5)}^{2}$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$- 3 (- \frac{x}{3} + \frac{- 1}{3} \cdot - 3) = - 3 {(y + 5)}^{2}$

Factor $3$ out of $- 3$ .

$- 3 (- \frac{x}{3} + \frac{- 1}{3} \cdot (3 (- 1))) = - 3 {(y + 5)}^{2}$

Cancel the common factor.

$- 3 (- \frac{x}{3} + \frac{- 1}{3} \cdot (3 \cdot - 1)) = - 3 {(y + 5)}^{2}$

Rewrite the expression.

$- 3 (- \frac{x}{3} - 1 \cdot - 1) = - 3 {(y + 5)}^{2}$

Multiply $- 1$ by $- 1$ .

$- 3 (- \frac{x}{3} + 1) = - 3 {(y + 5)}^{2}$

Apply the distributive property.

$- 3 (- \frac{x}{3}) - 3 \cdot 1 = - 3 {(y + 5)}^{2}$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{x}{3}$ into the numerator.

$- 3 \frac{- x}{3} - 3 \cdot 1 = - 3 {(y + 5)}^{2}$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- x}{3} - 3 \cdot 1 = - 3 {(y + 5)}^{2}$

Cancel the common factor.

$3 \cdot - 1 \frac{- x}{3} - 3 \cdot 1 = - 3 {(y + 5)}^{2}$

Rewrite the expression.

$- - x - 3 \cdot 1 = - 3 {(y + 5)}^{2}$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x - 3 \cdot 1 = - 3 {(y + 5)}^{2}$

Simplify.

Multiply $x$ by $1$ .

$x - 3 \cdot 1 = - 3 {(y + 5)}^{2}$

Multiply $- 3$ by $1$ .

$x - 3 = - 3 {(y + 5)}^{2}$

Step 3

Simplify $- 3 {(y + 5)}^{2}$ .

Rewrite.

$x - 3 = 0 + 0 - 3 {(y + 5)}^{2}$

Rewrite ${(y + 5)}^{2}$ as $(y + 5) (y + 5)$ .

$x - 3 = - 3 ((y + 5) (y + 5))$

Expand $(y + 5) (y + 5)$ using the FOIL Method.

Apply the distributive property.

$x - 3 = - 3 (y (y + 5) + 5 (y + 5))$

Apply the distributive property.

$x - 3 = - 3 (y \cdot y + y \cdot 5 + 5 (y + 5))$

Apply the distributive property.

$x - 3 = - 3 (y \cdot y + y \cdot 5 + 5 y + 5 \cdot 5)$

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$x - 3 = - 3 (y^{2} + y \cdot 5 + 5 y + 5 \cdot 5)$

Move $5$ to the left of $y$ .

$x - 3 = - 3 (y^{2} + 5 \cdot y + 5 y + 5 \cdot 5)$

Multiply $5$ by $5$ .

$x - 3 = - 3 (y^{2} + 5 y + 5 y + 25)$

Add $5 y$ and $5 y$ .

$x - 3 = - 3 (y^{2} + 10 y + 25)$

Apply the distributive property.

$x - 3 = - 3 y^{2} - 3 (10 y) - 3 \cdot 25$

Simplify.

Multiply $10$ by $- 3$ .

$x - 3 = - 3 y^{2} - 30 y - 3 \cdot 25$

Multiply $- 3$ by $25$ .

$x - 3 = - 3 y^{2} - 30 y - 75$

Step 4

Move all terms not containing $x$ to the right side of the equation.

Add $3$ to both sides of the equation.

$x = - 3 y^{2} - 30 y - 75 + 3$

Add $- 75$ and $3$ .

$x = - 3 y^{2} - 30 y - 72$

Step 5

Find the properties of the given parabola.

Rewrite the equation in vertex form.

Complete the square for $- 3 y^{2} - 30 y - 72$ .

Use the form $a x^{2} + b x + c$ , to find the values of $a$ , $b$ , and $c$ .

$a = - 3$

$b = - 30$

$c = - 72$

Consider the vertex form of a parabola.

$a {(x + d)}^{2} + e$

Find the value of $d$ using the formula $d = \frac{b}{2 a}$ .

Substitute the values of $a$ and $b$ into the formula $d = \frac{b}{2 a}$ .

$d = \frac{- 30}{2 \cdot - 3}$

Simplify the right side.

Cancel the common factor of $- 30$ and $2$ .

Factor $2$ out of $- 30$ .

$d = \frac{2 \cdot - 15}{2 \cdot - 3}$

Cancel the common factors.

Factor $2$ out of $2 \cdot - 3$ .

$d = \frac{2 \cdot - 15}{2 (- 3)}$

Cancel the common factor.

$d = \frac{2 \cdot - 15}{2 \cdot - 3}$

Rewrite the expression.

$d = \frac{- 15}{- 3}$

Cancel the common factor of $- 15$ and $- 3$ .

Factor $- 3$ out of $- 15$ .

$d = \frac{- 3 (5)}{- 3}$

Cancel the common factors.

Factor $- 3$ out of $- 3$ .

$d = \frac{- 3 \cdot 5}{- 3 \cdot 1}$

Cancel the common factor.

$d = \frac{- 3 \cdot 5}{- 3 \cdot 1}$

Rewrite the expression.

$d = \frac{5}{1}$

Divide $5$ by $1$ .

$d = 5$

Find the value of $e$ using the formula $e = c - \frac{b^{2}}{4 a}$ .

Substitute the values of $c$ , $b$ and $a$ into the formula $e = c - \frac{b^{2}}{4 a}$ .

$e = - 72 - \frac{{(- 30)}^{2}}{4 \cdot - 3}$

Simplify the right side.

Simplify each term.

Raise $- 30$ to the power of $2$ .

$e = - 72 - \frac{900}{4 \cdot - 3}$

Multiply $4$ by $- 3$ .

$e = - 72 - \frac{900}{- 12}$

Divide $900$ by $- 12$ .

$e = - 72 - - 75$

Multiply $- 1$ by $- 75$ .

$e = - 72 + 75$

Add $- 72$ and $75$ .

$e = 3$

Substitute the values of $a$ , $d$ , and $e$ into the vertex form $- 3 {(y + 5)}^{2} + 3$ .

$- 3 {(y + 5)}^{2} + 3$

Set $x$ equal to the new right side.

$x = - 3 {(y + 5)}^{2} + 3$

Use the vertex form, $x = a {(y - k)}^{2} + h$ , to determine the values of $a$ , $h$ , and $k$ .

$a = - 3$

$h = 3$

$k = - 5$

Since the value of $a$ is negative, the parabola opens left.

Opens Left

Find the vertex $(h, k)$ .

$(3, - 5)$

Find $p$ , the distance from the vertex to the focus.

Find the distance from the vertex to a focus of the parabola by using the following formula.

$\frac{1}{4 a}$

Substitute the value of $a$ into the formula.

$\frac{1}{4 \cdot - 3}$

Simplify.

Multiply $4$ by $- 3$ .

$\frac{1}{- 12}$

Move the negative in front of the fraction.

$- \frac{1}{12}$

Find the focus.

The focus of a parabola can be found by adding $p$ to the x-coordinate $h$ if the parabola opens left or right.

$(h + p, k)$

Substitute the known values of $h$ , $p$ , and $k$ into the formula and simplify.

$(\frac{35}{12}, - 5)$

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

$y = - 5$

Find the directrix.

The directrix of a parabola is the vertical line found by subtracting $p$ from the x-coordinate $h$ of the vertex if the parabola opens left or right.

$x = h - p$

Substitute the known values of $p$ and $h$ into the formula and simplify.

$x = \frac{37}{12}$

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Left

Vertex: $(3, - 5)$

Focus: $(\frac{35}{12}, - 5)$

Axis of Symmetry: $y = - 5$

Directrix: $x = \frac{37}{12}$

Direction: Opens Left

Vertex: $(3, - 5)$

Focus: $(\frac{35}{12}, - 5)$

Axis of Symmetry: $y = - 5$

Directrix: $x = \frac{37}{12}$

Step 6

Select a few $x$ values, and plug them into the equation to find the corresponding $y$ values. The $x$ values should be selected around the vertex.

Substitute the $x$ value $1$ into $f (x) = \sqrt{- (x - 3) \frac{1}{3}} - 5$ . In this case, the point is $(1, - 4.18350341)$ .

Replace the variable $x$ with $1$ in the expression.

$f (1) = \sqrt{- ((1) - 3) \frac{1}{3}} - 5$

Simplify the result.

Simplify each term.

Subtract $3$ from $1$ .

$f (1) = \sqrt{2 (\frac{1}{3})} - 5$

Combine exponents.

Multiply $- 1$ by $- 2$ .

$f (1) = \sqrt{2 (\frac{1}{3})} - 5$

Combine $2$ and $\frac{1}{3}$ .

$f (1) = \sqrt{\frac{2}{3}} - 5$

Rewrite $\sqrt{\frac{2}{3}}$ as $\frac{\sqrt{2}}{\sqrt{3}}$ .

$f (1) = \frac{\sqrt{2}}{\sqrt{3}} - 5$

Multiply $\frac{\sqrt{2}}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (1) = \frac{\sqrt{2}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} - 5$

Combine and simplify the denominator.

Multiply $\frac{\sqrt{2}}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (1) = \frac{\sqrt{2} \sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (1) = \frac{\sqrt{2} \sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (1) = \frac{\sqrt{2} \sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (1) = \frac{\sqrt{2} \sqrt{3}}{{\sqrt{3}}^{1 + 1}} - 5$

Add $1$ and $1$ .

$f (1) = \frac{\sqrt{2} \sqrt{3}}{{\sqrt{3}}^{2}} - 5$

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$f (1) = \frac{\sqrt{2} \sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} - 5$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$f (1) = \frac{\sqrt{2} \sqrt{3}}{3^{\frac{1}{2} \cdot 2}} - 5$

Combine $\frac{1}{2}$ and $2$ .

$f (1) = \frac{\sqrt{2} \sqrt{3}}{3^{\frac{2}{2}}} - 5$

Cancel the common factor of $2$ .

Cancel the common factor.

$f (1) = \frac{\sqrt{2} \sqrt{3}}{3^{\frac{2}{2}}} - 5$

Rewrite the expression.

$f (1) = \frac{\sqrt{2} \sqrt{3}}{3} - 5$

Evaluate the exponent.

$f (1) = \frac{\sqrt{2} \sqrt{3}}{3} - 5$

Simplify the numerator.

Combine using the product rule for radicals.

$f (1) = \frac{\sqrt{2 \cdot 3}}{3} - 5$

Multiply $2$ by $3$ .

$f (1) = \frac{\sqrt{6}}{3} - 5$

The final answer is $\frac{\sqrt{6}}{3} - 5$ .

$y = \frac{\sqrt{6}}{3} - 5$

Convert $\frac{\sqrt{6}}{3} - 5$ to decimal.

$= - 4.18350341$

Substitute the $x$ value $1$ into $f (x) = - \sqrt{- (x - 3) \frac{1}{3}} - 5$ . In this case, the point is $(1, - 5.81649658)$ .

Replace the variable $x$ with $1$ in the expression.

$f (1) = - \sqrt{- ((1) - 3) \frac{1}{3}} - 5$

Simplify the result.

Simplify each term.

Subtract $3$ from $1$ .

$f (1) = - \sqrt{2 (\frac{1}{3})} - 5$

Combine exponents.

Multiply $- 1$ by $- 2$ .

$f (1) = - \sqrt{2 (\frac{1}{3})} - 5$

Combine $2$ and $\frac{1}{3}$ .

$f (1) = - \sqrt{\frac{2}{3}} - 5$

Rewrite $\sqrt{\frac{2}{3}}$ as $\frac{\sqrt{2}}{\sqrt{3}}$ .

$f (1) = - \frac{\sqrt{2}}{\sqrt{3}} - 5$

Multiply $\frac{\sqrt{2}}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (1) = - (\frac{\sqrt{2}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}) - 5$

Combine and simplify the denominator.

Multiply $\frac{\sqrt{2}}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{{\sqrt{3}}^{1 + 1}} - 5$

Add $1$ and $1$ .

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{{\sqrt{3}}^{2}} - 5$

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} - 5$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{3^{\frac{1}{2} \cdot 2}} - 5$

Combine $\frac{1}{2}$ and $2$ .

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{3^{\frac{2}{2}}} - 5$

Cancel the common factor of $2$ .

Cancel the common factor.

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{3^{\frac{2}{2}}} - 5$

Rewrite the expression.

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{3} - 5$

Evaluate the exponent.

$f (1) = - \frac{\sqrt{2} \sqrt{3}}{3} - 5$

Simplify the numerator.

Combine using the product rule for radicals.

$f (1) = - \frac{\sqrt{2 \cdot 3}}{3} - 5$

Multiply $2$ by $3$ .

$f (1) = - \frac{\sqrt{6}}{3} - 5$

The final answer is $- \frac{\sqrt{6}}{3} - 5$ .

$y = - \frac{\sqrt{6}}{3} - 5$

Convert $- \frac{\sqrt{6}}{3} - 5$ to decimal.

$= - 5.81649658$

Substitute the $x$ value $2$ into $f (x) = \sqrt{- (x - 3) \frac{1}{3}} - 5$ . In this case, the point is $(2, - 4.42264973)$ .

Replace the variable $x$ with $2$ in the expression.

$f (2) = \sqrt{- ((2) - 3) \frac{1}{3}} - 5$

Simplify the result.

Simplify each term.

Subtract $3$ from $2$ .

$f (2) = \sqrt{1 (\frac{1}{3})} - 5$

Combine exponents.

Factor out negative.

$f (2) = \sqrt{- (- 1 (\frac{1}{3}))} - 5$

Multiply $- 1$ by $- 1$ .

$f (2) = \sqrt{1 (\frac{1}{3})} - 5$

Multiply $\frac{1}{3}$ by $1$ .

$f (2) = \sqrt{\frac{1}{3}} - 5$

Rewrite $\sqrt{\frac{1}{3}}$ as $\frac{\sqrt{1}}{\sqrt{3}}$ .

$f (2) = \frac{\sqrt{1}}{\sqrt{3}} - 5$

Any root of $1$ is $1$ .

$f (2) = \frac{1}{\sqrt{3}} - 5$

Multiply $\frac{1}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (2) = \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} - 5$

Combine and simplify the denominator.

Multiply $\frac{1}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (2) = \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (2) = \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (2) = \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (2) = \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} - 5$

Add $1$ and $1$ .

$f (2) = \frac{\sqrt{3}}{{\sqrt{3}}^{2}} - 5$

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$f (2) = \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} - 5$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$f (2) = \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} - 5$

Combine $\frac{1}{2}$ and $2$ .

$f (2) = \frac{\sqrt{3}}{3^{\frac{2}{2}}} - 5$

Cancel the common factor of $2$ .

Cancel the common factor.

$f (2) = \frac{\sqrt{3}}{3^{\frac{2}{2}}} - 5$

Rewrite the expression.

$f (2) = \frac{\sqrt{3}}{3} - 5$

Evaluate the exponent.

$f (2) = \frac{\sqrt{3}}{3} - 5$

The final answer is $\frac{\sqrt{3}}{3} - 5$ .

$y = \frac{\sqrt{3}}{3} - 5$

Convert $\frac{\sqrt{3}}{3} - 5$ to decimal.

$= - 4.42264973$

Substitute the $x$ value $2$ into $f (x) = - \sqrt{- (x - 3) \frac{1}{3}} - 5$ . In this case, the point is $(2, - 5.57735026)$ .

Replace the variable $x$ with $2$ in the expression.

$f (2) = - \sqrt{- ((2) - 3) \frac{1}{3}} - 5$

Simplify the result.

Simplify each term.

Subtract $3$ from $2$ .

$f (2) = - \sqrt{1 (\frac{1}{3})} - 5$

Combine exponents.

Factor out negative.

$f (2) = - \sqrt{- (- 1 (\frac{1}{3}))} - 5$

Multiply $- 1$ by $- 1$ .

$f (2) = - \sqrt{1 (\frac{1}{3})} - 5$

Multiply $\frac{1}{3}$ by $1$ .

$f (2) = - \sqrt{\frac{1}{3}} - 5$

Rewrite $\sqrt{\frac{1}{3}}$ as $\frac{\sqrt{1}}{\sqrt{3}}$ .

$f (2) = - \frac{\sqrt{1}}{\sqrt{3}} - 5$

Any root of $1$ is $1$ .

$f (2) = - \frac{1}{\sqrt{3}} - 5$

Multiply $\frac{1}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (2) = - (\frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}) - 5$

Combine and simplify the denominator.

Multiply $\frac{1}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$f (2) = - \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (2) = - \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Raise $\sqrt{3}$ to the power of $1$ .

$f (2) = - \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} - 5$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (2) = - \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} - 5$

Add $1$ and $1$ .

$f (2) = - \frac{\sqrt{3}}{{\sqrt{3}}^{2}} - 5$

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$f (2) = - \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} - 5$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$f (2) = - \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} - 5$

Combine $\frac{1}{2}$ and $2$ .

$f (2) = - \frac{\sqrt{3}}{3^{\frac{2}{2}}} - 5$

Cancel the common factor of $2$ .

Cancel the common factor.

$f (2) = - \frac{\sqrt{3}}{3^{\frac{2}{2}}} - 5$

Rewrite the expression.

$f (2) = - \frac{\sqrt{3}}{3} - 5$

Evaluate the exponent.

$f (2) = - \frac{\sqrt{3}}{3} - 5$

The final answer is $- \frac{\sqrt{3}}{3} - 5$ .

$y = - \frac{\sqrt{3}}{3} - 5$

Convert $- \frac{\sqrt{3}}{3} - 5$ to decimal.

$= - 5.57735026$

Graph the parabola using its properties and the selected points.

$\begin{array}{c} x & y \\ 1 & - 4.18 \\ 1 & - 5.82 \\ 2 & - 4.42 \\ 2 & - 5.58 \\ 3 & - 5 \end{array}$

Step 7

Graph the parabola using its properties and the selected points.

Direction: Opens Left

Vertex: $(3, - 5)$

Focus: $(\frac{35}{12}, - 5)$

Axis of Symmetry: $y = - 5$

Directrix: $x = \frac{37}{12}$

$\begin{array}{c} x & y \\ 1 & - 4.18 \\ 1 & - 5.82 \\ 2 & - 4.42 \\ 2 & - 5.58 \\ 3 & - 5 \end{array}$

Step 8

Graph -1/3(x-3)=(y+5)^2

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