Question

Convert from vertex form to standard form... y= -(x-3)^2-8

Answer 1

The answer is.. x^2+6x-17

Answer 2

-x² + 6x - 17

Explanation:

First, expand (x-3)² using FOIL

(x - 3)(x - 3)

= x² - 6x + 9

Distribute the negative sign to the expression:

-(x² - 6x + 9)

-x² + 6x - 9

Now, subtract 8 from this

-x² + 6x - 9

= -x² + 6x - 17

So, the equation in standard form is -x² + 6x - 17