CPM Homework Help : A2C Problem 11-146

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Home > A2C > Chapter Ch11 > Lesson 11.3.2 > Problem 11-146

11-146.

For each equation, state the amplitude, period, vertical shift, horizontal shift, and sketch two cycles of the graph.

$y = 3cos\left(2x\right)$
Hint (a):
The functions have the form of
y = a cos(b(x − h)) + k.
Show Graph (a):

$y = \operatorname { cos } 2 ( x + \frac { \pi } { 4 } )$
Answer (b):
Use 5 points to sketch one cycle and then repeat the pattern.
amplitude = 1
period = π
$\text{horizontal shift}=-\frac{\pi}{4}$

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