Vocabulary Absolute Value Function fx x Vertex highest or lowest point on the graph of an absolute value function Transformation changes graph size shape position or orientation Translation is a transformation that shifts a graph horizontally andor vertically but does not change ID: 777680
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Slide1
2.7 Use Absolute Value Functions
Slide2Vocabulary
Absolute Value Function: f(x) = |x|
Vertex: highest or lowest point on the graph of an absolute value function.
Transformation: changes graph size, shape, position, or orientation.
Translation: is a transformation that shifts a graph horizontally and/or vertically, but does not change its size, shape,
or orientation.
Slide3Graphing an Absolute Value Function
y = |x – h| + k
Vertex: (
h
,
k
)
Horizontal translation:
h
Vertical translation:
k
Slope: 1
Slide4Change the shape of the V:
y =
a|x
|
Is a vertical stretch or shrink of the V
“|a|” is less than 1, (shrink) or wide
“|a|” is greater than 1, (stretch) or narrow
“-a” turns the V down
Slide5Practice Problems:
Page 125 (1-3)