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This worksheet covers Function Transformations, which is part of the Graphing and Transforming Functions module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.
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View Destroyer Course →Graphing and Transforming Functions • SAT Math
Set 3 — Foundation
What is the effect of the transformation on the graph of the function ?
The graph shifts up by 3 units.
The graph shifts down by 3 units.
The graph shifts left by 3 units.
The graph shifts right by 3 units.
If , how is the graph of related to the graph of ?
It reflects over the x-axis.
It reflects over the y-axis.
It shifts up.
It shifts down.
What effect does the transformation have on the graph of ?
It stretches the graph vertically by a factor of 2.
It compresses the graph vertically by a factor of 2.
It reflects the graph over the x-axis.
It shifts the graph up by 2 units.
Which of the following transformations is represented by ?
The graph shifts right by 4 units.
The graph shifts left by 4 units.
The graph shifts up by 4 units.
The graph shifts down by 4 units.
What is the transformation represented by ?
Shift left 2 units and down 1 unit.
Shift right 2 units and up 1 unit.
Shift left 2 units and up 1 unit.
Shift right 2 units and down 1 unit.
If is transformed to , what is the transformation applied?
Shift right by 1 unit.
Shift left by 1 unit.
Shift up by 1 unit.
Shift down by 1 unit.
For the function , what is the transformation in ?
Shift down by 5 units.
Shift up by 5 units.
Shift left by 5 units.
Shift right by 5 units.
What is the transformation of the function f(x) = rac{1}{x} to g(x) = rac{1}{x + 2}?
Shift left by 2 units.
Shift right by 2 units.
Shift up by 2 units.
Shift down by 2 units.
What transformation occurs in the function f(x) = rac{1}{2}x^{2} compared to ?
The graph is compressed vertically by a factor of 2.
The graph is stretched vertically by a factor of 2.
The graph is reflected over the x-axis.
The graph shifts upward.
If is transformed to , what is the transformation applied?
Shift down by 4 units.
Shift up by 4 units.
Shift left by 2 units.
Shift right by 2 units.
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