# How do you write #h= -0.04(d-19)^2 +14.44# in factored form?

##### 1 Answer

The factored form is

#### Explanation:

The equation as given in the problem statement is in vertex form. Factored form requires knowledge of the roots of the equation. It is easy to get the roots from the vertex form. Simply set the vertex form = 0.

Subtract 14.44 from both sides and divide both sides by -0.04.

Take the square root of both sides.

Add 19 to both sides.

So the two roots are

The factored form of a quadratic equation is

Here, a = -0.04, so in factored form we would have

We can check this algebraically by converting the vertex form and the factored form into the standard form and see if we get the same thing.

CONVERT FROM VERTEX TO STANDARD FORM

CONVERT FROM FACTORED to STANDARD FORM

The standard form is the same, so we have the correct answer.