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26 August, 20:16

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

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Answers (2)
  1. 26 August, 20:23
    0
    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.
  2. 26 August, 20:40
    0
    Solutions

    The first step would be to Substitute 3 for x,

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

    answer - 30 inches
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