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Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3? The graph shifts 1 unit left. The graph shifts 5 units left. The graph shifts 5 units
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Dec 11, 2017
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Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
The graph shifts 1 unit left.
The graph shifts 5 units left.
The graph shifts 5 units right.
The graph shifts 1 unit right.
Mathematics
high-school
Thomas Neitmann
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Answer:
C
Step-by-step explanation:
Shifts five units to the right
DanubePM
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Dec 13, 2017
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DanubePM
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The correct answer is:
The graph shifts 5 units right
Step-by-step explanation:
Below is the graph attached of both the equations:
Red line:
Represents f(x) =
2x + 2.
Blue line:
Represents g(x) = 2x - 3.
As you can see in the graph that g(x) is shifted 5 units right to f(x).
If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)
Total 5 units.
Hence the correct answer is
t
he graph shifts 5 units right.
Sarah Messer
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Dec 15, 2017
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Sarah Messer
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