Modeling with Functions Answers
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1
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How is the graph of the parent function transformed to create the graph of ?
A
It is horizontally stretched by a factor of 3 and reflected over the y-axis.B
It is translated 3 units down and reflected over the x-axis.C
It is horizontally compressed by a factor of 3 and reflected over the x-axis.D
It is translated 3 units down and reflected over the y-axis.2
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How is the graph of the parent function, transformed to produce the graph of ?
A
It is translated horizontally by 2 units and reflected over the x-axis.B
It is translated horizontally by 2 units and reflected over the y-axis.C
It is horizontally compressed by a factor of 2 and reflected over the x-axis.D
It is horizontally compressed by a factor of 2 and reflected over the y-axis.3
Which results only in a horizontal compression of by a factor of 6?
A
y = StartFraction 1 Over 6 x EndFraction
B
y = negative StartFraction 1 Over 6 x EndFraction
C
y = StartFraction 6 Over x EndFraction
D
y = negative StartFraction 6 Over x EndFraction
4
Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function
A
y = log x + 5
B
y = log x minus 5
C
y = log (x + 5)
D
y = log (x minus 5)
5
Based on the family the graph below belongs to, which equation could represent the graph?
A
y = 2 Superscript x Baseline 3
B
y = log (2 x) + 3
C
y = 2 x squared + 2
D
y = StartFraction 1 Over 2 x EndFraction + 2
6
Which equation describes how the parent function, , is vertically stretched by a factor of 4?
A
Option
B
Option
C
Option
D
Option
7
The graph of is shown.Which is the graph of ?
A
On a coordinate plane, a cubic root function is shown. It approaches x = negative 3 in quadrant 3, has an inflection point at (negative 1, negative 2), and then approaches y = 2 in quadrant 1. It crosses the y-axis at (0, negative 2).
B
On a coordinate plane, a cubic root function is shown. It approaches x = negative 1 in quadrant 3, has an inflection point at (2, 1), and then increases and approaches y = 5.
C
On a coordinate plane, a cubic root function is shown. It approaches the y-axis in quadrant 4, increases, has a point of inflection at (2, 1), and then increases and approaches x = 4.
D
On a coordinate plane, a cubic root function is shown. It approaches the y-axis in quadrant 2, decreases, has a point of inflection at (negative 2, 1), and then decreases and approaches x = negative 4.
8
Which is the graph of ?
A
On a coordinate plane, a curve opens down and to the right and approaches y = 0 in quadrant 4. It increases into quadrant 1 and goes through (1, 3) and (4, 6).
B
On a coordinate plane, a curve opens down and to the right and approaches y = negative 3 in quadrant 3. It increases into quadrant 1 and goes through (negative 2, 0) and (1, 3).
C
On a coordinate plane, a curve approaches x = negative 3 in quadrant 4 and increases into quadrant 1. It goes through (4, 0) and (7, 3).
D
On a coordinate plane, a curve approaches y = 0 in quadrant 4 and then increases into quadrant 1. It goes through (4, 0) and (6, 1).
9
The graph below belongs to which function family?
A
linearB
quadraticC
cubicD
absolute valueDid you find these answers helpful?
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