Set 7: Quadratic Equations

Explanation

Answer: A

Which equation represents a parabola with vertex $(3, 0)$ ?

$y = (x - 3)^2$

✓ Correct

$y = (x + 3)^2$

$y = x^2 - 3$

$y = x^2 + 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Use vertex form $y = a(x-h)^2 + k$ . 1. Substitute $h=3$ and $k=0$ . 2. $y = a(x - 3)^2 + 0$ . 3. Assuming $a=1$ , $y = (x - 3)^2$ . Choice B is incorrect because vertex is $(-3, 0)$ . Choice C is incorrect because vertex is $(0, -3)$ . Choice D is incorrect because vertex is $(0, 3)$ .

Key Steps:

•

The correct answer is $y = (x - 3)^2$

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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