Write as a Function of y 2x+y^2=6

$2 x + y^{2} = 6$

Step 1

Subtract $y^{2}$ from both sides of the equation.

$2 x = 6 - y^{2}$

Step 2

Divide each term in $2 x = 6 - y^{2}$ by $2$ and simplify.

Divide each term in $2 x = 6 - y^{2}$ by $2$ .

$\frac{2 x}{2} = \frac{6}{2} + \frac{- y^{2}}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{6}{2} + \frac{- y^{2}}{2}$

Divide $x$ by $1$ .

$x = \frac{6}{2} + \frac{- y^{2}}{2}$

Simplify the right side.

Simplify each term.

Divide $6$ by $2$ .

$x = 3 + \frac{- y^{2}}{2}$

Move the negative in front of the fraction.

$x = 3 - \frac{y^{2}}{2}$

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.

$f (y) = 3 - \frac{y^{2}}{2}$

Write as a Function of y 2x+y^2=6

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