Set 11: Quadratic Equations (Advanced)

Explanation

Answer: A

Which form is best for finding x-intercepts?

Factored form: $y = a(x-p)(x-q)$

✓ Correct

Vertex form: $y = a(x-h)^2 + k$

Standard form: $y = ax^2 + bx + c$

Linear form

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Factored form (also called Intercept form) explicitly displays the roots $p$ and $q$ . You can read the intercepts $(p, 0)$ and $(q, 0)$ directly from the equation. Choice B is incorrect because it is best for finding the vertex. Choice C is incorrect because it is best for finding the y-intercept. Choice D is incorrect because it is not quadratic.

Key Steps:

•

The correct answer is Factored form: $y = a(x-p)(x-q)$

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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