CPM Homework Help : PC Problem 2-149

Continous linear piecwise graph, labeled f of x, first section, coming from lower left, passing through the point (negative 3, comma 0), turning at the point (negative 2, comma 2), turning at the origin, turning at the point (2, comma 2), passing through the point (3, comma 0), continuing down & right. Given the graph of $f(x)$ to the right, sketch graphs of the following transformations. 2-149 HW eTool (Desmos)

$-f(x)+2$
Steps (a):
Reflect the curve vertically, then shift it up $2$ units.
$y=\frac{1}{2}f(x+2)$ $\frac{1}{2}f(x+2)$
Steps (b):
Shift the curve left $2$ units, then halve the $y\text{-values}$ .

Use the eTool below to complete parts (a) and (b).
Click the link at right for the full version of the eTool: 2-149 HW eTool (Desmos)