
Function and Parent Functions - Transformations
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Mathematics
11th Grade
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What transformation occurs when f(x) is replaced with f(x) + 5?
Vertical translation down by 5 units.
Vertical translation up by 5 units.
Horizontal translation left by 5 units.
Horizontal translation right by 5 units.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the range of the function f(x) = -x^2?
All real numbers
All positive numbers
All nonpositive numbers, represented as @@y \le 0@@ or @@(-\infty, 0]@@
All negative numbers
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does a vertical compression by a factor of 1/2 do to a function?
It reduces the height of the graph by half, making it flatter.
It doubles the height of the graph, making it steeper.
It shifts the graph to the left by half its width.
It reflects the graph across the x-axis.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What transformation occurs when f(x) is replaced with 2⋅f(x)?
Vertical Stretch by a factor of 2.
Vertical Compression by a factor of 2.
Horizontal Stretch by a factor of 2.
Reflection over the x-axis.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the effect of a reflection across the x-axis on a function?
It flips the graph of the function over the x-axis.
It shifts the graph of the function to the right.
It stretches the graph of the function vertically.
It rotates the graph of the function 180 degrees.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How does the transformation f(x) = -f(x) affect the graph?
It reflects the graph across the x-axis.
It shifts the graph to the right.
It stretches the graph vertically.
It reflects the graph across the y-axis.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the effect of subtracting a constant from the input, such as f(x - c)?
It translates the graph horizontally to the right by c units.
It translates the graph vertically upwards by c units.
It reflects the graph across the x-axis.
It stretches the graph horizontally by a factor of c.
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