Question
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
14 inches
15 inches
28 inches
30 inches
Answers
GPT 3.5
To find the height of the arch at x = 3, we plug x = 3 into the function f(x) = -2(x)(x-8):
f(3) = -2(3)(3-8)
f(3) = -2(3)(-5)
f(3) = 30 inches
Therefore, the height of the arch, measured 3 inches from the left side of the arch, is 30 inches.
The answer is 30 inches.
f(3) = -2(3)(3-8)
f(3) = -2(3)(-5)
f(3) = 30 inches
Therefore, the height of the arch, measured 3 inches from the left side of the arch, is 30 inches.
The answer is 30 inches.