
Horizontal Transformations of Functions

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

Thomas White
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main reason horizontal transformations seem counterintuitive?
They involve complex calculations.
They appear opposite to their expected direction.
They require advanced mathematical knowledge.
They are not applicable to all functions.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of shifting a graph four units to the right, what transformation is applied?
y = x / 4
y = x + 4
y = x - 4
y = x * 4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does subtracting 4 from x in the function y = √(x - 4) shift the graph to the right?
It adds 4 to the y-values.
It subtracts 4 from the y-values.
It requires using x-values that are 4 units higher.
It changes the slope of the graph.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When analyzing the point (0,0) on the graph, what x-value is needed to maintain the same y-value after transformation?
4
2
0
8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the point (1,1) on the original graph, what is the new x-value after the transformation y = √(x - 4)?
7
5
1
3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the effect of a horizontal compression by a factor of 1/2 on the function y = √(2x)?
It stretches the graph horizontally.
It compresses the graph horizontally.
It shifts the graph to the left.
It shifts the graph to the right.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do horizontal transformations affect the x-values of a function?
They require adjustments to x-values to maintain y-values.
They have no effect on x-values.
They increase the x-values.
They decrease the x-values.
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of using x-values that are half of what they used to be in a horizontal compression?
A horizontal stretch
A vertical stretch
A horizontal compression
A vertical compression
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