Write as a Function of y y^2=4x+16

$y^{2} = 4 x + 16$

Step 1

Rewrite the equation as $4 x + 16 = y^{2}$ .

$4 x + 16 = y^{2}$

Step 2

Subtract $16$ from both sides of the equation.

$4 x = y^{2} - 16$

Step 3

Divide each term in $4 x = y^{2} - 16$ by $4$ and simplify.

Divide each term in $4 x = y^{2} - 16$ by $4$ .

$\frac{4 x}{4} = \frac{y^{2}}{4} + \frac{- 16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{y^{2}}{4} + \frac{- 16}{4}$

Divide $x$ by $1$ .

$x = \frac{y^{2}}{4} + \frac{- 16}{4}$

Simplify the right side.

Divide $- 16$ by $4$ .

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

Step 4

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.

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

Write as a Function of y y^2=4x+16

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