5

Set 4: Quadratic Equations (Intermediate)

Explanation

Answer: A

Find the y-intercept of y=x25x+6y = x^2 - 5x + 6.

A.

(0,6)(0, 6)

✓ Correct
B.

(0,6)(0, -6)

C.

(6,0)(6, 0)

D.

(0,5)(0, 5)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. The y-intercept is the point where the graph crosses the y-axis, which happens when x=0x = 0. 1. Substitute x=0x=0 into the equation: y=025(0)+6y = 0^2 - 5(0) + 6. 2. Simplify: y=6y = 6. 3. The point is (0,6)(0, 6). Choice B is incorrect because of a sign error. Choice C is incorrect because it swaps x and y (this would be an x-intercept). Choice D is incorrect because it uses the coefficient bb.

Key Steps:

The correct answer is (0,6)(0, 6)

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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