Question

Y= -3x^2-24x-46 write in vertex form

Answer 1

`y= -3{(x + 4)}^(2) + 2`

Step-by-step explanation

The given function is:

`y= -3x^2-24x-46`

Factor -3 for the first 2 terms.

`y= -3(x^2 + 8x)-46`

We add and subtract the square of the coefficient of x.

`y= -3(x^2 + 8x + {(4)}^(2) ) - - 3( {4)}^(2) -46`

Factor the perfect square trinomial.

`y= -3 {(x + 4)}^(2) ) + 48 -46`

The vertex form is:

`y= -3{(x + 4)}^(2) + 2`