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Nonlinear Functions

SAT Math· difficulty 4/5

If the graph of y=x2y = x^2 is stretched vertically by a factor of 4 and shifted 1 down, what is the new equation?

  • A

    y=x2/4−1y = x^2/4 - 1

  • B

    y=(4x)2−1y = (4x)^2 - 1

  • C

    y=4(x−1)2y = 4(x-1)^2

  • D

    y=4x2−1y = 4x^2 - 1

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Explanation

Vertical stretch by 4: y=4x2y = 4x^2. Shift down 1: y=4x2−1y = 4x^2 - 1.

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