Algebra Examples

$y^{2} = 4 x$

Step 1

Rewrite the equation as $4 x = y^{2}$ .

$4 x = y^{2}$

Step 2

Divide each term in $4 x = y^{2}$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 x = y^{2}$ by $4$ .

$\frac{4 x}{4} = \frac{y^{2}}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{y^{2}}{4}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{y^{2}}{4}$

Step 3

To rewrite as a function of $y$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $y$ is on the other side.

$f (y) = \frac{y^{2}}{4}$