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?
14 inches
15 inches
28 inches
30 inches

Solution:

Given that,

A sculptor creates an arch in the shape of a parabola

The function that represents the height of the arch, in inches, as a function of the distance from the left side of the arch x

f(x) = -2(x)(x-8)

What is the height  of the arch, measured 3 inches from the left side of the arch?

x = 3

Substitute x = 3 in f(x)

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

f(3) = -6(-5)

f(3) = 30

Thus the height of arch measured 3 inches from the left side of the arch is 30 inches

30

Step-by-step explanation:

I took the test

d

step-by-step explanation:

d