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Describe how the graphs of y = |x| and y = |x+2| are related.

A. The two graphs have the same shape but the second graph is shifted 2 units right.


B. The two graphs have the same shape but the second graph is shifted 2 units up.


C. The two graphs have the same shape but the second graph is shifted 2 units left.


D. The two graphs have the same shape but the second graph is shifted 2 units down.

2 Answers

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Final answer:

The graphs of y = |x| and y = |x+2| have the same shape but the second graph is shifted 2 units to the left.

Step-by-step explanation:

The graphs of y = |x| and y = |x+2| have the same shape but the second graph is shifted 2 units to the left.

Let's analyze the graphs one by one. The graph of y = |x| is a V-shape with the vertex at (0, 0). The graph of y = |x+2| is also a V-shape, but it is shifted 2 units to the left. This means that the vertex of the second graph is at (-2, 0).

So, the correct answer is C. The two graphs have the same shape but the second graph is shifted 2 units left.

User Simon Davies
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6 votes

Answer: C

Step-by-step explanation:

User Saneesh
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7.8k points