Respuesta :
The height of the arch, measured 3 inches from the left side of the arch is 30 inches.
Given
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 a parabola?
The path of a projectile under the influence of gravity follows a curve of this shape.
Therefore,
The height of the arch, measured 3 inches from the left side of the arch is;
[tex]\rm f(x) = -2(x)(x - 8)\\\\f(3) = -2(3)(3-8)\\\\f(-3)=(-6)(-5)\\\\f(-3)=30[/tex]
Hence, the height of the arch, measured 3 inches from the left side of the arch is 30 inches.
To know more about Parabola click the link given below.
https://brainly.com/question/8495268
