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Nonlinear Functions

SAT Math· difficulty 4/5

A parabola opens upward with vertex (0,−4)(0, -4) and passes through (2,0)(2, 0). Its equation is:

  • A

    y=2x2−4y = 2x^2 - 4

  • B

    y=x2−4y = x^2 - 4

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  • C

    y=(1/2)x2−4y = (1/2)x^2 - 4

  • D

    y=4x2−4y = 4x^2 - 4

Explanation

y=ax2−4y = ax^2 - 4, at (2,0)(2,0): 0=4a−40 = 4a - 4, a=1a = 1. So y=x2−4y = x^2 - 4.

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