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liberstina [14]
3 years ago
9

Find the vertex form of a parabola with a vertex of (-2, 12) that passes through (-4, 0)

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

Answer:

y = - 3(x + 2)² + 12

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, 12), thus

y = a(x + 2)² + 12

To find a substitute (- 4, 0) into the equation

0 = a(- 2)² + 12, that is

4a + 12 = 0 ( subtract 12 from both sides )

4a = - 12 ( divide both sides by 4 )

a = - 3

y = - 3(x + 2)² + 12 ← equation in vertex form

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Step-by-step explanation:

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Now finding the rational zeros using rational root theorem

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f(15)=(15)^3+7(15)^2+7(15)-15

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f(-15)=(-15)^3+7(-15)^2+7(-15)-15

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