A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f (x) = - 2 (x) (x - 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x. What is the height of the arch, measured 3 inches from the left side of the arch?

A. 14 inches

B. 15 inches

C. 28 inches

D. 30 inches

Question

Mathematics

Alayna Gross

15 January, 18:14

A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f (x) = - 2 (x) (x - 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x. What is the height of the arch, measured 3 inches from the left side of the arch?

A. 14 inches

B. 15 inches

C. 28 inches

D. 30 inches

+2

Answers (2)

Know the Answer?

Milo Horne · Answer 1

The correct answer is:

D) 30 inches

Explanation:

We know that x represents the distance in inches from the left side of the arch. Using 3 for x, we have:

f (3) = - 2 (3) (3-8)

f (3) = - 2 (3) (-5)

f (3) = - 6 (-5)

f (3) = 30

The correct answer is 30 inches.

Brett Foley · Answer 2

Solutions

The first step would be to Substitute 3 for x,

Now we have the equation - 2 (3) (3-8).

answer - 30 inches