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astra-53 [7]
3 years ago
14

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
Mathematics
2 answers:
Naya [18.7K]3 years ago
4 0

we have

y =-3x^{2}-12x- 2

<u>Rewrite as perfect squares</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y+2 = -3x^{2} - 12x

Factor the leading coefficient

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

Complete the square. Remember to balance the equation by adding the same constants to each side

y+2-12 = -3(x^{2} +4x+4)

y-10 = -3(x^{2} +4x+4)

y-10 = -3(x+2)^{2}

y=-3(x+2)^{2}+10

therefore

<u>the answer is the option</u>

y=-3(x+2)^{2}+10

murzikaleks [220]3 years ago
3 0
Y=-3(x+2)²+10 is the answer
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