Write as a Function of y y^2=5x-9

$y^{2} = 5 x - 9$

Step 1

Rewrite the equation as $5 x - 9 = y^{2}$ .

$5 x - 9 = y^{2}$

Step 2

Add $9$ to both sides of the equation.

$5 x = y^{2} + 9$

Step 3

Divide each term in $5 x = y^{2} + 9$ by $5$ and simplify.

Divide each term in $5 x = y^{2} + 9$ by $5$ .

$\frac{5 x}{5} = \frac{y^{2}}{5} + \frac{9}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{y^{2}}{5} + \frac{9}{5}$

Divide $x$ by $1$ .

$x = \frac{y^{2}}{5} + \frac{9}{5}$

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.

$f (y) = \frac{y^{2}}{5} + \frac{9}{5}$

Write as a Function of y y^2=5x-9

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