
Graph Transformations and Sine Functions

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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11 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of a horizontal stretch transformation?
Altering the vertical position of the graph
Changing the amplitude of the graph
Shifting the graph along the y-axis
Modifying the horizontal scale of the graph
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of horizontal stretch, what does the parameter 'a' represent?
The scaling factor along the y-axis
The scaling factor along the x-axis
The horizontal shift of the graph
The vertical shift of the graph
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When 'a' is greater than 1, what happens to the graph of f(ax) compared to f(x)?
The graph is shrunk horizontally
The graph is stretched horizontally
The graph is stretched vertically
The graph is shifted to the right
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of sine(2x), what is the value of sine(2x) when x is pi/4?
0
1
-1
0.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many cycles does sine(2x) complete in the interval 0 to 2pi?
Two cycles
One cycle
Half a cycle
Three cycles
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general effect on the graph of f(x) when a > 1?
The graph is shifted upwards
The graph is shrunk horizontally
The graph is reflected over the x-axis
The graph is stretched vertically
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When 'a' is a fraction between 0 and 1, what happens to the graph of f(ax) compared to f(x)?
The graph is stretched horizontally
The graph is reflected over the y-axis
The graph is shifted to the left
The graph is shrunk vertically
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