Find the x and y Intercepts f(x)=-2x(x+4)

$f (x) = - 2 x (x + 4)$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = - 2 x (x + 4)$

Solve the equation.

Rewrite the equation as $- 2 x (x + 4) = 0$ .

$- 2 x (x + 4) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x = 0$

$x + 4 = 0$

Set $x$ equal to $0$ .

$x = 0$

Set $x + 4$ equal to $0$ and solve for $x$ .

Set $x + 4$ equal to $0$ .

$x + 4 = 0$

Subtract $4$ from both sides of the equation.

$x = - 4$

The final solution is all the values that make $- 2 x (x + 4) = 0$ true.

$x = 0, - 4$

x-intercept(s) in point form.

x-intercept(s): $(0, 0), (- 4, 0)$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = - 2 \cdot 0 ((0) + 4)$

Solve the equation.

Remove parentheses.

$y = - 2 \cdot (0 (0 + 4))$

Remove parentheses.

$y = - 2 \cdot (0 ((0) + 4))$

Simplify $- 2 \cdot (0 ((0) + 4))$ .

Add $0$ and $4$ .

$y = - 2 \cdot (0 \cdot 4)$

Multiply $- 2 (0 \cdot 4)$ .

Multiply $0$ by $4$ .

$y = - 2 \cdot 0$

Multiply $- 2$ by $0$ .

$y = 0$

y-intercept(s) in point form.

y-intercept(s): $(0, 0)$

Step 3

List the intersections.

x-intercept(s): $(0, 0), (- 4, 0)$

y-intercept(s): $(0, 0)$

Step 4

Find the x and y Intercepts f(x)=-2x(x+4)

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