7
advanced-math

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

A

Opens downward

B

Opens upward

C

Shifted left

D

Shifted down

Correct Answer: A

Choice A is the correct answer. The coefficient a=−1a = -1 affects the direction of opening.

  1. A negative aa reflects the graph across the x-axis.
  2. This causes the parabola to open downward.

Choice B is incorrect because positive aa opens upward. Choice C is incorrect because the shift is determined by h=4h=4 (right). Choice D is incorrect because the shift is determined by k=0k=0.

Next
Question 8 →
Back to Set
Set 7: Quadratic Equations and Functions 7