Nonlinear Functions

SAT Math· difficulty 3/5

The graph of y=x2y = x^2 is shifted 2 units left and reflected over the xx-axis. Which equation represents the new graph?

  • A

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

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  • B

    y=(x2)2y = -(x - 2)^2

  • C

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

  • D

    y=x2+2y = -x^2 + 2

Explanation

Left 2: y=(x+2)2y = (x + 2)^2. Reflect over xx-axis: y=(x+2)2y = -(x + 2)^2.

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