The graphs show how the function g relates to the parent function f. Drawnlines from each statement to the graph it describes

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3-3 Reteach to Build Understanding
Transforming Linear Functions
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g(x) = f(x) +4
1. The graphs show how the function g relates to the parent function f. Draw
lines from each statement to the graph it describes.
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Parent
Function
f(x) = 2x - 7
f(x) = 2x - 7
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The value of k is 2, so
the graph translates
2 units right.
f(x) = x + 2
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f(x) = x
Equation of
Transformation
g(x) = f(x - 2)
g(x) = -2f(x)
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g(x) = f(x+2)
2. Margaret identified the different transformations of graphs. She has made two
mistakes. Identify and correct her errors.
g(x) = 3f(x)
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F(x) 0.5x – 1
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The value of k is 5, so
the slope is scaled by
a factor of 5.
Margaret's
Identification
Vertical translation
Vertical stretch
Mistake
3. Consider f(x) = x + 2. If g(x) = 3f(x), how does the graph of g compare with the
graph of f? Complete the work.
Step 1: Make a table of values.
Correct
Identification
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g(x) = f(5x - 1)
f(x) 0.5x1
The value of k is 4, so
the graph translates
4 units up.
Step 2: Graph the functions.
ty
Since k> 1, the graph of g is a vertical stretch of the graph of f. The slope and
the y-intercept of the graph are scaled by a factor of
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