Standard level
5.04 Vertical shifts and dilations of sine and cosine functions
Interactive practice questions
Consider the function $y=-3\cos x$y=−3cosx.
a
What is the maximum value of the function?
b
What is the minimum value of the function?
c
What is the amplitude of the function?
d
Select the two transformations that are required to turn the graph of $y=\cos x$y=cosx into the graph of $y=-3\cos x$y=−3cosx.
Vertical dilation.
A
Horizontal translation.
B
Reflection across the $x$x-axis.
C
Vertical translation.
D
Easy
1min
Which combinations of transformations could be used to turn the graph of $y=\cos x$y=cosx into the graph of $y=-\cos x+3$y=−cosx+3?
Easy
1min
Consider the two graphs:
$A$A: $y=\sin x$y=sinx
$B$B: $y=\sin x-2$y=sinx−2.
Easy
< 1min
The graph of $y=\sin x$y=sinx has been transformed into the graph of $y=\sin x-2$y=sinx−2.
Easy
< 1min
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