Set 11: Quadratic Equations (Intermediate)

Explanation

Answer: A

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

$(0, 0.5)$

✓ Correct

$(0, 0.25)$

$(0, 1)$

$(0, 2)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Formula: Focus = $(0, 1/4 a)$ . 2. Given $a = 0.5$ . 3. Calculate: $1/ (4 \times 0.5) = 1 / 2 = 0.5$ . 4. Focus is at $(0, 0.5)$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $(0, 0.5)$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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