Graph g(x)=f(5x)

$g (x) = f (5 x)$

Rewrite the function as an equation.

$y = f (5 x)$

Remove parentheses.

$y = f \cdot (5 x)$

Rewrite using the commutative property of multiplication.

$y = 5 f x$

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 $y = m x + b$ .

$m = 5$

$b = 0$

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

Slope: $5$

y-intercept: $(0, 0)$

Slope: $5$

y-intercept: $(0, 0)$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 5 f \end{array}$

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

Slope: $5$

y-intercept: $(0, 0)$

$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 5 f \end{array}$