Precalculus Examples

$y = - \frac{1}{4} x^{2} + 3 x + 6$

Step 1

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

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

Step 2

Combine $x^{2}$ and $\frac{1}{4}$ .

$y = - \frac{x^{2}}{4} + 3 x + 6$

Step 3

Reorder terms.

$y = - (\frac{1}{4} x^{2}) + 3 x + 6$

Step 4

Remove parentheses.

$y = - \frac{1}{4} x^{2} + 3 x + 6$

Step 5