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Radda [10]
4 years ago
15

The vertex of a parabola is at (8,-1)and its y-interpret is-17. Which function represents the parabola

Mathematics
1 answer:
Ilia_Sergeevich [38]4 years ago
4 0

Answer:

D

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) = (8, - 1), thus

y = a(x - 8)² - 1

To find a substitute (0, - 17), the coordinates of the y- intercept into the equation.

- 17 = a(0 - 8)² - 1

- 17 = 64a - 1 ( add 1 to both sides )

- 16 = 64a ( divide both sides by 64 )

a = \frac{-16}{64} = - \frac{1}{4}

y = - \frac{1}{4}(x - 8)² - 1 → D

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