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

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

4 votes

Answer:

D

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 =
(-16)/(64) = -
(1)/(4)

y = -
(1)/(4)(x - 8)² - 1 → D

User Jugurtha
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