
Graphing a Transformed Cosine Function

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial step in sketching the graph of the given function?
Determining the y-intercepts
Calculating the derivative
Finding the x-intercepts
Identifying the function's parameters
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the amplitude of the function f(θ) = -2cos(θ - π/4) + 1?
4
2
3
1
Tags
CCSS.HSF-IF.C.7E
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does a negative amplitude affect the graph of a cosine function?
It shifts the graph upwards
It shifts the graph downwards
It reflects the graph across the midline
It stretches the graph vertically
Tags
CCSS.HSF.TF.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the period of the function f(θ) = -2cos(θ - π/4) + 1?
2π
4π
π
π/2
Tags
CCSS.HSF-IF.C.7E
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the phase shift of the function f(θ) = -2cos(θ - π/4) + 1?
Left π/4
Right π/2
Right π/4
Left π/2
Tags
CCSS.HSF-IF.C.7E
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertical shift of the function f(θ) = -2cos(θ - π/4) + 1?
Down 2 units
Down 1 unit
Up 1 unit
Up 2 units
Tags
CCSS.HSF-IF.C.7E
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the midline of the function f(θ) = -2cos(θ - π/4) + 1?
y = 2
y = 0
y = 1
y = -1
Tags
CCSS.HSF-IF.C.7E
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