Graph 1/2f(x-4)

$\frac{1}{2} f (x - 4)$

Step 1

Solve for $y$ .

Factor $y$ out of $\frac{y x}{2} - 2 y$ .

Factor $y$ out of $\frac{y x}{2}$ .

$y (\frac{x}{2}) - 2 y = 0$

Factor $y$ out of $- 2 y$ .

$y (\frac{x}{2}) + y \cdot - 2 = 0$

Factor $y$ out of $y \frac{x}{2} + y \cdot - 2$ .

$y (\frac{x}{2} - 2) = 0$

Divide each term in $y (\frac{x}{2} - 2) = 0$ by $\frac{x}{2} - 2$ and simplify.

Divide each term in $y (\frac{x}{2} - 2) = 0$ by $\frac{x}{2} - 2$ .

$\frac{y (\frac{x}{2} - 2)}{\frac{x}{2} - 2} = \frac{0}{\frac{x}{2} - 2}$

Simplify the left side.

Cancel the common factor of $\frac{x}{2} - 2$ .

Cancel the common factor.

$\frac{y (\frac{x}{2} - 2)}{\frac{x}{2} - 2} = \frac{0}{\frac{x}{2} - 2}$

Divide $y$ by $1$ .

$y = \frac{0}{\frac{x}{2} - 2}$

Simplify the right side.

Simplify the denominator.

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{0}{\frac{x}{2} - 2 \cdot \frac{2}{2}}$

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

$y = \frac{0}{\frac{x}{2} + \frac{- 2 \cdot 2}{2}}$

Combine the numerators over the common denominator.

$y = \frac{0}{\frac{x - 2 \cdot 2}{2}}$

Multiply $- 2$ by $2$ .

$y = \frac{0}{\frac{x - 4}{2}}$

Multiply the numerator by the reciprocal of the denominator.

$y = 0 \frac{2}{x - 4}$

Multiply $0$ by $\frac{2}{x - 4}$ .

$y = 0$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 0$

$b = 0$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $0$

y-intercept: $(0, 0)$

Slope: $0$

y-intercept: $(0, 0)$

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 0 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: $0$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 0 \end{array}$

Step 5

Graph 1/2f(x-4)

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