Step-by-step explanation:
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Answer:
0.5
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<h2>
Hello!</h2>
The answer is:
The fourth graph.
<h2>
Why?</h2>
We are given the following equation:
![f(x)=x](https://tex.z-dn.net/?f=f%28x%29%3Dx)
Then, we need to find the graph of f(x+2) that will be equal to:
![f(x+2)=x+2](https://tex.z-dn.net/?f=f%28x%2B2%29%3Dx%2B2)
![y=x+2](https://tex.z-dn.net/?f=y%3Dx%2B2)
Now, finding the x-axis interception, making "y" equal to 0, we have:
![0=x+2](https://tex.z-dn.net/?f=0%3Dx%2B2)
![-2=x](https://tex.z-dn.net/?f=-2%3Dx)
Therefore, the x-axis interception point is located at (-2,0), it matches with the fourth graph.
Now, finding the y-axis interception, making "x" equal to 0, we have:
![y=x+2](https://tex.z-dn.net/?f=y%3Dx%2B2)
![y=0+2=2](https://tex.z-dn.net/?f=y%3D0%2B2%3D2)
Therefore, the y-axis interception point is located at (0,2), it matches with the fourth graph.
Hence, we have that the graph of f(x+2) is the fourth graph since the second graph function cuts the x-axis at -2 and the y-axis at 2.
Have a nice day!