6

Set 6: Quadratic Equations (Advanced)

Explanation

Answer: A

Find the vertex of y=x2+6xy = x^2 + 6x.

A.

(−3,−9)(-3, -9)

✓ Correct
B.

(3,27)(3, 27)

C.

(−3,9)(-3, 9)

D.

(0,0)(0, 0)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. x=−b/2a=−6/2=−3x = -b/2 a = -6/2 = -3. 2. y=(−3)2+6(−3)=9−18=−9y = (-3)^2 + 6(-3) = 9 - 18 = -9. 3. Vertex is (−3,−9)(-3, -9). Choice B is incorrect because of sign error on x. Choice C is incorrect because of sign error on y. Choice D is incorrect.

Key Steps:

•

The correct answer is (−3,−9)(-3, -9)

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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