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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.

2 Answers

1 vote

Answer:

C

Step-by-step explanation:

Shifts five units to the right

User DanubePM
by
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2 votes
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 the graph shifts 5 units right.
Which statement best describes the effect of replacing the function f(x) = 2x + 2 with-example-1
User Sarah Messer
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7.5k points

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