Given the equation $y=f(x-3)+2$, what kind of transformation does this represent?

Graphing

In Exercises 69–76, graph each function not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.14–1.17 and applying an appropriate transformation.

y = (1/2x) − 1

Graphing

In Exercises 69–76, graph each function not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.14–1.17 and applying an appropriate transformation.

y = (−2x)²/³

The accompanying figure shows the graph of a function f(x) with domain [0,2] and range [0,1]. Find the domains and ranges of the following functions, and sketch their graphs.

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c. 2f(x)

Graph the function y = √|x|.

How do you obtain the graph of $y=f\(\left\)(x+2\(\right\))$ from the graph of $y=f\(\left\)(x\(\right\))$?

How do you obtain the graph of $y=-3f\(\left\)(x\(\right\))$ from the graph of $y=f\(\left\)(x\(\right\))$?

How do you obtain the graph of $y=f\(\left\)(3x\(\right\))$ from the graph of $y=f\(\left\)(x\(\right\))$?

Use the graph of $f$ in the figure to plot the following functions.

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$y=f\(\left\)(x-2\(\right\))$