CPM Homework Help : PCT Problem 1-154

Given the graph of $k\left(x\right)$ to the right, sketch the following functions.

$k\left(x − 2\right) + 3$
Hint (a):
Shift the curve right $2$ units and up $3$ units.
$−k\left(x\right) − 2$
Hint (b):
Reflect the curve vertically, then shift it vertically.
$\frac{1}{2}k(x)+1$
Hint (c):
Vertically "stretch" the curve by $\frac{1}{2}$ , then shift the curve vertically.

Continuous, Piecewise labeled, k of x, with 2 pieces. Left: upward parabola, vertex at the point (0, comma negative 2), passing through the point (negative 2, comma 2), & stopping at the point (2, comma 2). Right: Ray, starting at the point (2, comma 2), passing through the point (5, comma negative 4).