CPM Homework Help : PCT Problem 6-34

Given the graph of f(x) to the right, sketch the graph of: 6-34 HW eTool (Desmos)

$−f\left(x\right) + 2$
Hint (a):
It is reflected vertically and shifted up 2 units.
$2f\left(−x\right)$
Hint (b):
It is reflected horizontally and stretched vertically.
$\frac { 1 } { f ( x ) }$
Hint (c):
Asymptotes are at $x = −2, 0,$ and $2$ .

Curve, coming from lower left, passing through (negative 2, comma 0), turning down at (negative 1, comma 3), passing through the origin, turning up at (1, comma negative 3), passing through (2, comma 0), continuing up & right.

Use the eTool below to visualize this problem.
Click on the link to the right to view the full version of the eTool: 6-34 HW eTool