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

Question

asked Dec 12, 2020 199k views

1 Answer

Mcmac · Answer 1 · 2020-12-16T14:55:16+0000

ANSWER

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

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:

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