Examples

f (x) = 5 {(x - 5)}^{2}

$f (x) = 5 {(x - 5)}^{2}$

Step 1

Write

f (x) = 5 {(x - 5)}^{2}

$f (x) = 5 {(x - 5)}^{2}$ as an equation.

y = 5 {(x - 5)}^{2}

$y = 5 {(x - 5)}^{2}$

Step 2

Since

x

$x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

5 {(x - 5)}^{2} = y

$5 {(x - 5)}^{2} = y$

Step 3

Divide each term in

5 {(x - 5)}^{2} = y

$5 {(x - 5)}^{2} = y$ by

5

$5$ and simplify.

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Step 3.1

Divide each term in

5 {(x - 5)}^{2} = y

$5 {(x - 5)}^{2} = y$ by

5

$5$ .

\frac{5 {(x - 5)}^{2}}{5} = \frac{y}{5}

$\frac{5 {(x - 5)}^{2}}{5} = \frac{y}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

5

$5$ .

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Step 3.2.1.1

Cancel the common factor.

\frac{5 {(x - 5)}^{2}}{5} = \frac{y}{5}

$\frac{5 {(x - 5)}^{2}}{5} = \frac{y}{5}$

Step 3.2.1.2

Divide

{(x - 5)}^{2}

${(x - 5)}^{2}$ by

1

$1$ .

{(x - 5)}^{2} = \frac{y}{5}

${(x - 5)}^{2} = \frac{y}{5}$

{(x - 5)}^{2} = \frac{y}{5}

${(x - 5)}^{2} = \frac{y}{5}$

{(x - 5)}^{2} = \frac{y}{5}

${(x - 5)}^{2} = \frac{y}{5}$

{(x - 5)}^{2} = \frac{y}{5}

${(x - 5)}^{2} = \frac{y}{5}$

Step 4

Reorder terms.

{(x - 5)}^{2} = \frac{1}{5} y

${(x - 5)}^{2} = \frac{1}{5} y$

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