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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? 14 inches 15 inches 28 inches 30 inches.

Sagot :

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

Answer:30 inches

Step-by-step explanation:

just took test

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