Question

An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. the function representing the mirror is graphed on the left. which function models the situation? f(x) = (x – 6)2 2 f(x) = –(x – 0)2 20 f(x) = 3(x – 6)2 2 f(x) = –3(x – 0)2 20

Answer 1

Function that models the situation is  f(x) = 1/2(x-6)²+2.

What is a parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

Given parabola is of concave upward type.

So, the parabola will be of form f(x)=p(x-q)²+r....(1)

As vertices of parabola are (6,2)

So, we can put q=6 and r =2 in (1)

So, (1) becomes f(x) = p(x-6)²+2.....(2)

The y-intercept of the parabola is 20

This means, (2) becomes 20 = p(0-6)²+2

i.e. p = 1/2

So, function will be f(x) = 1/2(x-6)²+2

Therefore, function that models the situation is  f(x) = 1/2(x-6)²+2.

To get more about parabola visit:

https://brainly.com/question/4148030