MII.F-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include exponential, quadratic, and absolute value functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.

Example Problems
The parabola is reflected across the -axis.

What is the equation of the new parabola?
The parabola is reflected across the x-axis.

What is the equation of the new parabola?
The parabola is scaled vertically by a factor of 9.

What is the equation of the new parabola?
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