
Transformation of Function Graphs
Authored by Anthony Clark
Mathematics
11th Grade

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
The graph of g is a vertical translation 2 units up of the graph of f
The graph of f is a horizontal translation two units left of g
The graph of g is a vertical stretch by a factor of 2 of the graph of f
The graph of g is a reflection of the graph of f
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
The graph of g is a vertical translation 4 units up from the graph f
The graph of g is a horizontal translation of the graph of f, 4 units right
The graph of g is a horizontal translation of the graph of f, 4 units left
The graph of g is a vertical stretch of the graph of f, by a factor of 7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which transformation will occur if f(x) = x is replaced with f(x) + 2?
Translation left 2 units
Translation right 2 units
Vertical translation up by 2 units.
Reflection across the x-axis.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?
horizontal shift down and vertical shift left
horizontal shift left and vertical shift down
horizontal shift right and vertical shift up
horizontal shift up and vertical shift right
5.
DROPDOWN QUESTION
1 min • 1 pt
A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?
The graph of f(x) (a) to create the graph of h.
is shifted right 7 units
is shifted up 7 units
is shifted left 7 units
is shifted down 7 units
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
F
G
H
J
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
A graph of g(x) is shown. Write an equation for g(x) as a transformation of the linear function f(x) = x.
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