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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?

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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

Therefore, the correct answer is 30 inches! Thank you for your inquiry, your welcome for the answer and explanation!

shubhamchouhanvrVT

The correct answer is:  D) The height of the arch, measured 3 inches from the left side of the arch 30 inches

What is the height?

In math, height can be defined the vertical distance from the top to the base of the object. It is measured in cm, inches, meters, etc.

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

Therefore, the correct answer is 30 inches

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