## Bailey.Nae 3 years ago HELP PLEASE A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. The pipe is located 2 inches from the vertex of the mirror. Write an equation of the parabola that models the cross section of the mirror. Assume that the parabola opens upward.

1. FeoNeo33

height of the parabola in inches: Take the formula to be y = ax^2 The focus of the parabola is 2 inches up, which means a/4 = 2 ==> a = 8... the equation is: y = 8x^2

2. Bailey.Nae

thank you , what if it was 6 inches?

3. Bailey.Nae

I would do the same thing right?

4. FeoNeo33

Replace the 2 with a 6. Which means a/4 = 2 ==> a = 8. |||||| a/4 = 6 ==> a = 24. y = 24x^2

5. Bailey.Nae

why would it always be four?

6. FeoNeo33

Yeah, I believe so. I think it's just the formula. I'll check very quickly for you tho.

7. Bailey.Nae

Noo noo , you don't have to i believe you lol I was just wondering , but thank you So much (:

8. FeoNeo33

Whoops, y = ax^2 is the formula, I guess whatever the 'x' is, but at least you have the answer. Off to other post, later, welcome.

9. confluxepic

lol

10. confluxepic

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