
Cosine Function Transformations and Properties
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of the cosine function used to determine the equation of a graph?
y = a * sin(bx + c) + d
y = a * cos(bx + c) + d
y = a * tan(bx + c) + d
y = a * sec(bx + c) + d
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the graph is reflected across the midline, what happens to the value of 'a'?
'a' becomes zero
'a' remains unchanged
'a' becomes positive
'a' becomes negative
Tags
CCSS.HSF-IF.C.7E
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertical shift if the midline of the graph is y = 1?
Vertical shift is -1
Vertical shift is 2
Vertical shift is 1
Vertical shift is 0
Tags
CCSS.HSF-IF.C.7E
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the amplitude of a cosine function determined from its graph?
Distance from the midline to a maximum or minimum
Distance between two consecutive maxima
Distance from the y-axis to a minimum
Distance from the x-axis to a maximum
Tags
CCSS.HSF.TF.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the period of a cosine function if 2π/b equals π/2?
2π
4π
π/2
π
Tags
CCSS.HSF-IF.C.7E
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the phase shift is negative π/8, what is the value of 'c' when b = 4?
c = -π/2
c = π/2
c = π/4
c = -π/4
Tags
CCSS.HSF-IF.C.7E
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the cosine function with a = 3, b = 4, c = π/2, and d = 1?
y = -3 * cos(4x - π/2) + 1
y = -3 * cos(4x + π/2) + 1
y = 3 * cos(4x - π/2) + 1
y = 3 * cos(4x + π/2) + 1
Tags
CCSS.HSF-IF.C.7E
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