What happens to the graph of a function when a positive constant is added inside the function's argument?
Overview transformations horizontal shifts - Online Tutor - Free Math Videos

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Mathematics
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9th - 10th Grade
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The graph shifts upwards.
The graph shifts downwards.
The graph shifts to the right.
The graph shifts to the left.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of horizontal transformations, what is a common mistake when interpreting a positive shift?
Assuming the graph shifts to the right.
Assuming the graph shifts downwards.
Assuming the graph shifts to the left.
Assuming the graph shifts upwards.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dealing with the function f(x) = √(x + 3), what is the correct direction of the shift?
Shift down by 3 units.
Shift right by 3 units.
Shift left by 3 units.
Shift up by 3 units.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function is transformed by f(x) = √(x - 1), what is the direction of the shift?
Shift down by 1 unit.
Shift up by 1 unit.
Shift left by 1 unit.
Shift right by 1 unit.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new position of the point (2, 4) on the graph of f(x) = x^2 when transformed by f(x) = (x - 1)^2?
(3, 4)
(1, 4)
(1, 1)
(2, 1)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the graph of f(x) = x^2 change when transformed to f(x) = (x + 1)^2?
It shifts left by 1 unit.
It shifts down by 1 unit.
It shifts right by 1 unit.
It shifts up by 1 unit.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key takeaway about horizontal transformations when the constant is inside the function?
The graph always shifts downwards.
The shift direction is opposite to the sign of the constant.
The graph always shifts upwards.
The shift direction is the same as the sign of the constant.
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