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2 years ago

What is the range for y=-3x^2-12x-17?

Mathematics

2 answers:

tensa zangetsu [6.8K]2 years ago

6 0

Answer:

RANGE: y greater than or equal to -5 (b)

Sindrei [870]2 years ago

3 0

Graph the function

Attached

Vertex at (-2,-5)

Then

y=-(3x²+12x+17)
y=-(9x²+36x+51)
y=-[(3x)²+2(3x)(6)+51-25+25]
y=-[(3x)²+2(3x)(6)+36+25]
y=-[(3x+6)²+25]
y=-[(3x+6)²+5²]

We know

a²+b²=(a-b)²+2ab

Vertex form of parabola

a(x-h)²+k

vertex:-

(h,k)=(-2,-5)

Range:-

y≤-5

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