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# What is the answer choice to this problem? Thank you!?

A cross section of the reflector shown is in the shape of a parabola. Which is the equation for the cross section?

a. y^2 = 4x

b. y^2 = 8x

c. x^2 = 4y

d. x^2 = 8y ### 2 Answers

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It's a *horizontal* parabola, so it will have a y² term and have the following form:

y² = kx

You can see you have one point (x,y) = (2,4). Plug that in and solve for k:

4² = 2k

16 = 2k

k = 16/2

k = 8

Answer:

y² = 8x

Take a look at the graph of the cross-section in the link below.

•  A cross section of the reflector shown is in the shape of a parabola.

The equation for the cross section: a. y^2 = 4x b. y^2 = 8x     ====> Answer c. x^2 = 4yd. x^2 = 8y

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