Question

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

Answer 1

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