Algebra Examples

$y = f (\frac{1}{5} x)$

Step 1

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

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

Step 2

Solve the equation for $y$ .

Tap for more steps...

Step 2.1

Multiply $\frac{1}{5}$ by $- 2$ .

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

Step 2.2

Remove parentheses.

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

Step 2.3

Simplify $f (\frac{1}{5}) \cdot - 2$ .

Tap for more steps...

Step 2.3.1

Combine $f$ and $\frac{1}{5}$ .

$y = \frac{f}{5} \cdot - 2$

Step 2.3.2

Combine $\frac{f}{5}$ and $- 2$ .

$y = \frac{f \cdot - 2}{5}$

Step 2.3.3

Simplify the expression.

Tap for more steps...

Step 2.3.3.1

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

$y = \frac{- 2 \cdot f}{5}$

Step 2.3.3.2

Move the negative in front of the fraction.

$y = - \frac{2 f}{5}$

Step 3

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

$y = f (\frac{1}{5} \cdot (- 1))$

Step 4

Solve the equation for $y$ .

Tap for more steps...

Step 4.1

Multiply $\frac{1}{5}$ by $- 1$ .

$y = f (\frac{1}{5} \cdot - 1)$

Step 4.2

Remove parentheses.

$y = f (\frac{1}{5}) \cdot - 1$

Step 4.3

Simplify $f (\frac{1}{5}) \cdot - 1$ .

Tap for more steps...

Step 4.3.1

Combine $f$ and $\frac{1}{5}$ .

$y = \frac{f}{5} \cdot - 1$

Step 4.3.2

Combine $\frac{f}{5}$ and $- 1$ .

$y = \frac{f \cdot - 1}{5}$

Step 4.3.3

Simplify the expression.

Tap for more steps...

Step 4.3.3.1

Move $- 1$ to the left of $f$ .

$y = \frac{- 1 \cdot f}{5}$

Step 4.3.3.2

Move the negative in front of the fraction.

$y = - \frac{f}{5}$

Step 5

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

$y = f (\frac{1}{5} \cdot (0))$

Step 6

Solve the equation for $y$ .

Tap for more steps...

Step 6.1

Multiply $\frac{1}{5}$ by $0$ .

$y = f (\frac{1}{5} \cdot 0)$

Step 6.2

Remove parentheses.

$y = f (\frac{1}{5}) \cdot 0$

Step 6.3

Remove parentheses.

$y = f (\frac{1}{5} \cdot (0))$

Step 6.4

Simplify $f (\frac{1}{5} \cdot (0))$ .

Tap for more steps...

Step 6.4.1

Multiply $\frac{1}{5}$ by $0$ .

$y = f \cdot 0$

Step 6.4.2

Multiply $f$ by $0$ .

$y = 0$

Step 7

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

$y = f (\frac{1}{5} \cdot (1))$

Step 8

Solve the equation for $y$ .

Tap for more steps...

Step 8.1

Multiply $\frac{1}{5}$ by $1$ .

$y = f (\frac{1}{5} \cdot 1)$

Step 8.2

Remove parentheses.

$y = f (\frac{1}{5}) \cdot 1$

Step 8.3

Remove parentheses.

$y = f (\frac{1}{5} \cdot (1))$

Step 8.4

Simplify $f (\frac{1}{5} \cdot (1))$ .

Tap for more steps...

Step 8.4.1

Multiply $\frac{1}{5}$ by $1$ .

$y = f \frac{1}{5}$

Step 8.4.2

Combine $f$ and $\frac{1}{5}$ .

$y = \frac{f}{5}$

Step 9

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

$y = f (\frac{1}{5} \cdot (2))$

Step 10

Solve the equation for $y$ .

Tap for more steps...

Step 10.1

Multiply $\frac{1}{5}$ by $2$ .

$y = f (\frac{1}{5} \cdot 2)$

Step 10.2

Remove parentheses.

$y = f (\frac{1}{5}) \cdot 2$

Step 10.3

Remove parentheses.

$y = f (\frac{1}{5} \cdot (2))$

Step 10.4

Simplify $f (\frac{1}{5} \cdot (2))$ .

Tap for more steps...

Step 10.4.1

Combine $\frac{1}{5}$ and $2$ .

$y = f \frac{2}{5}$

Step 10.4.2

Combine $f$ and $\frac{2}{5}$ .

$y = \frac{f \cdot 2}{5}$

Step 10.4.3

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

$y = \frac{2 f}{5}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{2 f}{5} \\ - 1 & - \frac{f}{5} \\ 0 & 0 \\ 1 & \frac{f}{5} \\ 2 & \frac{2 f}{5} \end{array}$

Step 12