Changes in Period and Phase Shift of Sine and Cosine Functions
Which is the graph of y = cos(x − π)?
1st option
Which is the graph of y = cos4(x − π)?
2nd option
This graph shows the function y = sin(x) shifted __ units to the __
30, left
Which is the graph of y = sin(0.25x) in degrees?
3rd option
Ok, you're welcome
:)
What is the vertical shift from the parent function?
0
This graph shows the function y = sin(x) shifted
B. y= sin(x+30)
Identify the values for the function y = cos 4(x - π) Amplitude= Period= Horizonal (phase) shift= __ units Vertical shift= __ units ___
1 pi/2 pi, 0, right
Which could be an equation for the graph?
y=cos(2x)
Drag the slider to change the value of b and observe the effect of b on the graph of the sine function. when b = 0.5 ,the period of orange graph is __ pi when b = 2 ,the period of orange graph is __ pi
4, 1
Which could be an equation for the graph?
B. y = -3cos(x)
Based on this evidence, When b > 1, the period __ When 0 < b < 1, the period __
decreases, increases
Identify the following using the graph Period: Frequency: Frequency factor:
pi 1/pi b=2
Drag the slider to change the value of h, and observe the effect of h on the graph of the cosine function. When h = π, the orange graph shifts __ units to the __ When h = −π, the orange graph shifts __ units to the __
pi, right pi, left
What happens when h = 2π or h = −2π? The orange graph __ the blue graph.
coincides with
Determine the following for the graph: Minimum: __ Maximum: __ What is the amplitude?
-3, 3, 3 (min, max, amp)