Completing the Square (Continued) Answers

–8–448

–8–448

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To graph the function p, reflect the graph of f(x) = x2 across the x-axis, vertically stretch the graph by a factor of 8, shift the graph units, and then shift the graph units.

down 128left 128right 128up 128

The function p(x) = –8x2 – 64x can be written in vertex form p(x) = a(x – h)2 + k, where a =, h =, and k =.

The function p(x) = 6x2 + 48x written in vertex form is p(x) = 6(x + 4)2 – 96. Which statements are true about the graph of p? Check all that apply. The axis of symmetry is the line x = –4.The graph is narrower than the graph of f(x) = x2.The parabola has a maximum.The parabola opens down.The value of k is –96, so there is a vertical shift down 96 units.

Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2?

–128–1616128

The function p(x) = –8x2 – 64x can be written in vertex form p(x) = a(x – h)2 + k, where a =, h =, and k =.

The function p(x) = –8x2 – 64x can be written in vertex form p(x) = a(x – h)2 + k, where a =, h =, and k =.

To graph the function p, reflect the graph of f(x) = x2 across the x-axis, vertically stretch the graph by a factor of 8, shift the graph units, and then shift the graph units.