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Nonlinear Functions

SAT Math· difficulty 4/5

A parabola has vertex (−1,4)(-1, 4) and passes through (0,1)(0, 1). What is its equation?

  • A

    y=−3(x−1)2+4y = -3(x-1)^2 + 4

  • B

    y=−(x+1)2+4y = -(x+1)^2 + 4

  • C

    y=3(x+1)2+4y = 3(x+1)^2 + 4

  • D

    y=−3(x+1)2+4y = -3(x+1)^2 + 4

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Explanation

y=a(x+1)2+4y = a(x+1)^2 + 4. At (0,1)(0,1): 1=a+41 = a + 4, a=−3a = -3.

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