Precalculus Examples

$x^{2} = 4 y$

Step 1

Solve for $y$ .

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Step 1.1

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

$4 y = x^{2}$

Step 1.2

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

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Step 1.2.1

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

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

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $4$ .

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Step 1.2.2.1.1

Cancel the common factor.

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

Step 1.2.2.1.2

Divide $y$ by $1$ .

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

Step 2

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Step 3

Reorder terms.

$y = \frac{1}{4} x^{2}$

Step 4