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eimsori [14]
3 years ago
13

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

Mathematics
1 answer:
mario62 [17]3 years ago
6 0

ANSWER

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

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

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