What is the main reason horizontal transformations seem counterintuitive?

Horizontal Transformations of Functions

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

Thomas White
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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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