10
advanced-math

The shape of a satellite dish is y=0.5x2y = 0.5x^2. Where is the focus if the focus is at (0,1/4a)(0, 1/4a)?

A

(0,0.5)(0, 0.5)

B

(0,0.25)(0, 0.25)

C

(0,1)(0, 1)

D

(0,2)(0, 2)

Correct Answer: A

Choice A is the correct answer.

  1. Formula: Focus = (0,1/4a)(0, 1/4a).
  2. Given a=0.5a = 0.5.
  3. Calculate: 1/(4×0.5)=1/2=0.51 / (4 \times 0.5) = 1 / 2 = 0.5.
  4. Focus is at (0,0.5)(0, 0.5).

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 19: Quadratic Equations and Functions 19