Asculptor 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

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.

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step-by-step explanation:

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)