Precalculus Examples

$x^{2} = 12 y$

Step 1

Solve for $y$ .

Tap for more steps...

Step 1.1

Rewrite the equation as $12 y = x^{2}$ .

$12 y = x^{2}$

Step 1.2

Divide each term in $12 y = x^{2}$ by $12$ and simplify.

Tap for more steps...

Step 1.2.1

Divide each term in $12 y = x^{2}$ by $12$ .

$\frac{12 y}{12} = \frac{x^{2}}{12}$

Step 1.2.2

Simplify the left side.

Tap for more steps...

Step 1.2.2.1

Cancel the common factor of $12$ .

Tap for more steps...

Step 1.2.2.1.1

Cancel the common factor.

$\frac{12 y}{12} = \frac{x^{2}}{12}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{x^{2}}{12}$

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.

$y = \frac{1}{12} x^{2}$

Step 4