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Set 10: Quadratic Equations (Advanced)

Explanation

Answer: A

Which function has an x-intercept at x=4x = 4?

A.

y=x4y = x - 4

✓ Correct
B.

y=x+4y = x + 4

C.

y=x2+16y = x^2 + 16

D.

y=(x+4)2y = (x + 4)^2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. If a function has an x-intercept at x=4x=4, then f(4)f(4) must equal 0. * A: 44=04- 4 = 0. (Correct) * B: 4+4=84+ 4 = 8. * C: 42+16=324^2 + 16 = 32. * D: (4+4)2=64(4 + 4)^2 = 64. Choice B is incorrect because 4+4=84 +4=8. Choice C is incorrect because 16+16=3216 +16=32. Choice D is incorrect because 82=648^2=64.

Key Steps:

The correct answer is y=x4y = x - 4

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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