Question

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. What is the focus point of the flashlight?

Answer 1

the focus point is 0, 2

Answer 2

Answer: (0,2)

Step-by-step 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)