Write as a Function of y 36=|y|+x^2

$36 = | y | + x^{2}$

Step 1

Rewrite the equation as $| y | + x^{2} = 36$ .

$| y | + x^{2} = 36$

Step 2

Subtract $| y |$ from both sides of the equation.

$x^{2} = 36 - | y |$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{36 - | y |}$

Step 4

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = \sqrt{36 - | y |}$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - \sqrt{36 - | y |}$

The complete solution is the result of both the positive and negative portions of the solution.

$x = \sqrt{36 - | y |}$

$x = - \sqrt{36 - | y |}$

$x = \sqrt{36 - | y |}$

$x = - \sqrt{36 - | y |}$

Step 5

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.

$f (y) = \sqrt{36 - | y |}, - \sqrt{36 - | y |}$

Write as a Function of y 36=|y|+x^2

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