Precalculus Examples

$y = x^{2}$

Step 1

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

$x^{2} = y$

Step 2

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

$x = \pm \sqrt{y}$

Step 3

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

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Step 3.1

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

$x = \sqrt{y}$

Step 3.2

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

$x = - \sqrt{y}$

Step 3.3

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

$x = \sqrt{y}$

$x = - \sqrt{y}$

$x = \sqrt{y}$

$x = - \sqrt{y}$

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.

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