Graph Using a Table of Values y=f(2x)

$y = f (2 x)$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = f (2 (- 2))$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = f \cdot 2 \cdot - 2$

Simplify $f \cdot 2 \cdot - 2$ .

Move $2$ to the left of $f$ .

$y = 2 \cdot f \cdot - 2$

Multiply $- 2$ by $2$ .

$y = - 4 f$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = f (2 (- 1))$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = f \cdot 2 \cdot - 1$

Simplify $f \cdot 2 \cdot - 1$ .

Move $2$ to the left of $f$ .

$y = 2 \cdot f \cdot - 1$

Multiply $- 1$ by $2$ .

$y = - 2 f$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y = f (2 (0))$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = f \cdot 2 \cdot 0$

Remove parentheses.

$y = f (2 (0))$

Simplify $f (2 (0))$ .

Multiply $2$ by $0$ .

$y = f \cdot 0$

Multiply $f$ by $0$ .

$y = 0$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$y = f (2 (1))$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = f \cdot 2 \cdot 1$

Remove parentheses.

$y = f (2 (1))$

Simplify $f (2 (1))$ .

Multiply $2$ by $1$ .

$y = f \cdot 2$

Move $2$ to the left of $f$ .

$y = 2 f$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$y = f (2 (2))$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = f \cdot 2 \cdot 2$

Remove parentheses.

$y = f (2 (2))$

Simplify $f (2 (2))$ .

Multiply $2$ by $2$ .

$y = f \cdot 4$

Move $4$ to the left of $f$ .

$y = 4 f$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 4 f \\ - 1 & - 2 f \\ 0 & 0 \\ 1 & 2 f \\ 2 & 4 f \end{array}$

Step 12

Graph Using a Table of Values y=f(2x)

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