 Transformations of Functions
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Practice 10 QuestionsShow answers
• Question 1
45 seconds Q. If the blue function is f(x)=x2, then the red function must be
g(x)=x2-5
g(x)=x2+5
g(x)=(x-5)2
g(x)=(x+5)2
• Question 2
60 seconds Q. If the blue function is f(x)=√x, the red function must be
g(x)=√(-x)
g(x)=√(x-1)
g(x)=√x-1
g(x)=-√x
• Question 3
45 seconds Q. Match the equation to its description.
Right 2 and up 2
Left 2 and up 2
Right 2 and down 2
Left 2 and down 2
• Question 4
45 seconds
Q. g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).
f(x) has been reflected over the x-axis.
f(x) has been reflected over the y-axis.
• Question 5
60 seconds
Q. g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).
f(x) has been translated to the left one and down five.
f(x) has been translated to the right one and down five.
f(x) has been translated to the left one and up five.
f(x) has been translated to the right one and up five.
• Question 6
60 seconds
Q. Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.
(2,-4)
(-2,4)
(8,4)
(-2,-8)
• Question 7
45 seconds Q. DOMAIN?
(-∞,∞)
[0,∞)
(-∞,0]
-2, 2
• Question 8
45 seconds Q. What is the RANGE?
(-∞,∞)
[0,∞)
(-∞,0]
[-∞,∞]
• Question 9
60 seconds Q.   The blue function is the parent function f(x) = x3.  Which of the following is the correct equation for the red function, g(x)?
g(x)=x3+1
g(x)=x3-1
g(x)=(x-1)3
g(x)=(x+1)3
• Question 10
180 seconds
Q. f(x) = ⅔(x - 7)2