6
advanced-math

Which equation represents a parabola with vertex (3,0)(3, 0)?

A

y=(x−3)2y = (x - 3)^2

B

y=(x+3)2y = (x + 3)^2

C

y=x2−3y = x^2 - 3

D

y=x2+3y = x^2 + 3

Correct Answer: A

Choice A is the correct answer. Use vertex form y=a(x−h)2+ky = a(x-h)^2 + k.

  1. Substitute h=3h=3 and k=0k=0.
  2. y=a(x−3)2+0y = a(x - 3)^2 + 0.
  3. Assuming a=1a=1, y=(x−3)2y = (x - 3)^2.

Choice B is incorrect because vertex is (−3,0)(-3, 0). Choice C is incorrect because vertex is (0,−3)(0, -3). Choice D is incorrect because vertex is (0,3)(0, 3).

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Set 9: Quadratic Equations and Functions 9