
Graphs of Linear Transformations
Authored by Anthony Clark
Mathematics
9th Grade

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.
g(x) is shifted up 3 units
g(x) is shifted down 3 units
g(x) is shifted left 3 units
g(x) is shifted right 3 units
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.
Graph g is reflected and steeper by a factor of 3
Graph g is steeper by a factor of 3
Graph g reflected and less steep by a factor of 3
Graph g reflected and steeper by a factor of 3
3.
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.
Graph g is less steep by a factor of 1/5
Graph g shifted down 1 unit
Graph g is steeper by a factor of 1/5
Graph g shifted up 2 units
4.
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.
Graph g reflected
Graph g shifted up 2 units
Graph g reflected and shifted down 2 units.
Graph g reflected and shifted up 2 units
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Vertical stretch by a factor of 4
Vertical compression by a factor of 1/4
Vertical translation up by 1/4 units.
Horizontal compression by a factor of 1/4
6.
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.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?
The graph of f is steeper than the graph of g.
The graph of f is less steep than the graph of g.
The graph of f is shifted 2 units up to create the graph of g.
The graph of f is shifted 2 units to the right to create the graph of g.
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