Transformations of Functions and Graphs

Quiz
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?
Vertical Compression by a factor of 2
Vertical Stretch by a factor of 2
Vertical translation up by 2 units.
Reflection across the x-axis.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?
The graph of f is shifted 12 units to the right to create the graph of g.
The graph of f is shifted 12 units down to create the graph of g.
The graph of f is shifted 12 units up to create the graph of g.
The graph of f is shifted 12 units to the left to create the graph of g.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?
The graph of f is shifted 15 units to the right to create the graph of g.
The graph of f is shifted 15 units down to create the graph of g.
The graph of f is shifted 15 units up to create the graph of g.
The graph of f is shifted 15 units to the left to create the graph of g.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the blue graph is
f(x) = x2
then the red must be...
g(x) = x2 - 5
g(x) = x2 + 5
g(x) = (x - 5)2
g(x) = (x + 5)2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which transformation on f(x) = x is g(x) = -f(x)
Reflection across the y-axis
The slope will be less steep
The graph will be wider
Reflection across the x-axis.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Match the equation to its description.
Reflected over x, right 2 and up 1
Reflected over x, left 2 and up 1
Reflected over x, right 2 and down 1
Reflected over x, left 2 and down 1
7.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
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
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