Yung is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by x^2=8y, where x and y are measured in inches…

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asked Feb 13, 2019 25.8k views

2 Answers

Srikanth Nakka · Answer 1 · 2019-02-17T12:26:48+0000

Answer: (0,2)

Explanation:

We know that the general equation of a parabola with vertex at the origin and vertical orientation is given by

x^2=4ay , where a is the distance between the vertex and the origin.

The focal point = (0,a)

Given: Yung is designing a flashlight that uses a parabolic reflecting mirror and a light source.

The shape of the mirror can be modeled by :-

x^2=8y , where x and y are measured in inches.

$\Rightarrow\ x^2= 4(2)y$

⇒ The focal point = (0,2)

Hence, the focus point of the flashlight = (0,2)