Set 16: Quadratic Equations (Intermediate)

Explanation

Answer: A

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

$(0, 6)$

✓ Correct

$(0, -6)$

$(6, 0)$

$(0, 5)$

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 $x = 0$ . 1. Substitute $x=0$ into the equation: $y = 0^2 - 5(0) + 6$ . 2. Simplify: $y = 6$ . 3. The point is $(0, 6)$ . 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 $b$ .

Key Steps:

•

The correct answer is $(0, 6)$

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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