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Nonlinear Functions

SAT Math· difficulty 4/5

A parabola has vertex (2,−3)(2, -3) and passes through (4,5)(4, 5). What is its equation?

  • A

    y=(x−2)2−3y = (x-2)^2 - 3

  • B

    y=2(x+2)2−3y = 2(x+2)^2 - 3

  • C

    y=−2(x−2)2−3y = -2(x-2)^2 - 3

  • D

    y=2(x−2)2−3y = 2(x-2)^2 - 3

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Explanation

y=a(x−2)2−3y = a(x-2)^2 - 3. Plug in (4,5)(4, 5): 5=4a−35 = 4a - 3, a=2a = 2. So y=2(x−2)2−3y = 2(x-2)^2 - 3.

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