Explanation:
The function is
To plot the function in the graph, first we shall determine the amplitude, period, phase shift and vertical shift.
The function is of the form,
where A is the amplitude =
Period is ,
Phase shift is C,
Vertical shift is D.
Hence, from the function , we have,
Amplitude =
Period =
Phase shift = 0
Vertical shift = -2
Now, substituting the values for x, we get the corresponding values for y.
For ⇒
For ⇒
For ⇒
For ⇒
For ⇒
Hence, plotting these points we get the graph which is attached below:
Now, we shall graph the function
Similarly, we shall determine the amplitude, period, phase shift and vertical shift.
Amplitude =
Period =
Phase shift = 0
Vertical shift = 1
Now, substituting the values for x, we get the corresponding values for y in the function
For ⇒
For ⇒
For ⇒
For ⇒
For ⇒
Hence, plotting these points we get the graph which is attached below: