Set 2: Quadratic Equations (Advanced)

Explanation

Answer: A

What is the effect of the negative sign in $y = -(x - 4)^2$ ?

Opens downward

✓ Correct

Opens upward

Shifted left

Shifted down

Detailed Explanation

Choice A is correct. Choice A is the correct answer. The coefficient $a = -1$ affects the direction of opening. 1. A negative $a$ reflects the graph across the x-axis. 2. This causes the parabola to open downward. Choice B is incorrect because positive $a$ opens upward. Choice C is incorrect because the shift is determined by $h=4$ (right). Choice D is incorrect because the shift is determined by $k=0$ .

Key Steps:

•

The correct answer is Opens downward

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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