M.A18.34

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. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Example Problems
The image files captured by a drone have a mean size of with a standard deviation of .

What will be the
mean of the distribution of file sizes in kilobytes?
equals .
The distribution of heights of the twelve-year-old boys on Tim's rugby team had a mean of and a standard deviation of .

What will be the
mean of the distribution of heights in feet?
approximately equals .
A litter of newborn kittens had weights with a mean of and a standard deviation of .

What will be the
mean of the distribution of weights in pounds?
approximately equals .
Goblins

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