The document discusses absolute value functions and their transformations. It notes that the graph of an absolute value function looks like a V-shape, and examples absolute value functions modeling bank shots in pool. It then reviews four types of transformations for absolute value functions: vertical reflection, vertical stretch/shrink, horizontal shift, and vertical shift. These transformations can move the vertex and axis of symmetry. Several examples of graphing transformed absolute value functions are provided.
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5.1 graphing abs value functions
2. ï‚žThe
graph of y = |x| looks like a
v-shape.
vertex
x
-2
-1
0
1
2
y = |x|
3. ï‚žHave
you ever played pool or
putt-putt golf?
ï‚žThe path of the ball when making
a bank shot is an example of
an absolute
value
function.
5. ï‚žThe
vertex will move according to
the horizontal and vertical shifts.
ï‚žExample:
ï‚žVertex: (-3, -4)
x = -3
ï‚žAxis
of symmetry:
Vertical line
through
the vertex
(-3, -4)
