Question

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?
y = –3(x + 2)2 + 10
y = –3(x – 2)2 + 10
y = –3(x + 2)2 – 14
y = –3(x – 2)2 – 2

Answer 1

Final Answer :
$y = - 3 {(x + 2)}^{2} + 10$
Steps and Understanding:
1)
$y = - 3 {x}^{2} - 12x - 2 \\ = > y = - 3( {x}^{2} + 4x) - 2 \\ = > y = - 3( {x}^{2} + 4x + 4 - 4) - 2 \\ = > y = - 3 {(x + 2)}^{2} + 12 - 2 \\ = > y = - 3 {(x + 2)}^{2} + 10$

2) Vertex of this parabola :
V (-2,10)

Hence, Vertex Form :
$y = - 3 {(x + 2)}^{2} + 10$

Answer 2

In the attachments I have answered this problem.

The given represents a open downward parabola.

Vertex V is (-2, 10)

See the attachments for detailed solution.



I hope this answer helps you