Deanna is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by x squared is equal to 12 y , where x and y are measured in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?
Answer
A
open paren negative 3 comma 0 close paren
B
open paren 0 comma 4 close paren
C
open paren 0 comma 3 close paren
D
open paren 0 comma negative 3 close paren
Explanation
A parabola in the form x² = 4py opens upward and has its focus at (0, p). Comparing x² = 12y with x² = 4py gives 4p = 12, so p = 3 and the focus is (0, 3), choice C.
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