Name: 
 

Unit 06-09 - Function Transformations



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Given the graph of the parent function is mc001-1.jpg:
mc001-2.jpg
Which function below correctly describes the graph of mc001-3.jpg?
a.
mc001-4.jpg
c.
mc001-6.jpg
b.
mc001-5.jpg
d.
mc001-7.jpg
 

 2. 

The parent function mc002-1.jpg is shown in the graph below:
mc002-2.jpg
Which graph below correctly shows mc002-3.jpg
a.
mc002-4.jpg
c.
mc002-6.jpg
b.
mc002-5.jpg
d.
mc002-7.jpg
 

 3. 

Given the parent function mc003-1.jpg, which of the functions listed below would be an equivalent function that has been translated right 3 and up 2 ?
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4. 

Point A is plotted in the graph below.
mc004-1.jpg
What would be the location of the image of A after it is reflected over the x-axis?
a.
mc004-2.jpg
c.
mc004-4.jpg
b.
mc004-3.jpg
d.
mc004-5.jpg
 

 5. 

Consider the table showing a set of partial values for the function  f(x).
mc005-1.jpg
Which set of values show the same function in the table above vertically stretched from the x-axis by a factor of 2?
a.

mc005-2.jpg
b.

mc005-3.jpg
c.

mc005-4.jpg
d.

mc005-5.jpg
 

 6. 

Point A is plotted in the graph below.
mc006-1.jpg
What would be the location of the image of A after it is reflected over the x-axis and then, translated left 4 units?
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

Given the graph of the parent function is mc007-1.jpg:
mc007-2.jpg
Which function below correctly describes the graph of mc007-3.jpg?
a.
mc007-4.jpg
c.
mc007-6.jpg
b.
mc007-5.jpg
d.
mc007-7.jpg
 

 8. 

Given the parent function mc008-1.jpg, how would the function mc008-2.jpg compare to mc008-3.jpg?
a.
mc008-4.jpg is the same as mc008-5.jpg vertically compressed by a factor of mc008-6.jpg to the x-axis and translated right 3 units
b.
mc008-7.jpg is the same as mc008-8.jpg vertically stretched by a factor of 4 from the x-axis and translated right 3 units
c.
mc008-9.jpg is the same as mc008-10.jpg vertically compressed by a factor of mc008-11.jpg to the x-axis and translated left 3 units
d.
mc008-12.jpg is the same as mc008-13.jpg vertically stretched by a factor of 4 from the x-axis and translated left 3 units
 

 9. 

If the original parabola defined by mc009-1.jpg, how would it change if mc009-2.jpg were graphed instead?
a.
The parabola would be vertically stretched factor 2, translated right 3 and up 1.
b.
The parabola would be vertically compressed factor ½, translated left 3 and down 1.
c.
The parabola would be vertically compressed factor ½, translated right 3 and down 1.
d.
The parabola would be vertically stretched factor 2, translated left 3 and up 1.
 



 
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