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?

the focus point is 0, 2

(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  

, 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 :-

, where x and y are measured in inches.

⇒ The focal point = (0,2)

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

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6