1
advanced-math

Which equation corresponds to a parabola that opens upward with a vertex at (0,−4)(0, -4)?

A

y=x2−4y = x^2 - 4

B

y=−x2−4y = -x^2 - 4

C

y=(x−4)2y = (x - 4)^2

D

y=x2+4y = x^2 + 4

Correct Answer: A

Choice A is the correct answer.

  1. Vertex at (0,−4)(0, -4): This implies a vertical shift down 4 units, so k=−4k = -4 and h=0h = 0. The form is y=a(x−0)2−4=ax2−4y = a(x-0)^2 - 4 = ax^2 - 4.
  2. Opens upward: This implies a>0a > 0. Choice A has a=1a=1.

Choice B is incorrect because it opens downward (a=−1a=-1). Choice C is incorrect because vertex is (4,0)(4, 0). Choice D is incorrect because vertex is (0,4)(0, 4).

Next
Question 2 →
Back to Set
Set 9: Quadratic Equations and Functions 9