Question

Suppose f(x) = x. Find the graph of f(x+2).

Answer 1

Hello!

The answer is:

The fourth graph.

Why?

We are given the following equation:

$f(x)=x$

Then, we need to find the graph of f(x+2) that will be equal to:

$f(x+2)=x+2$

$y=x+2$

Now, finding the x-axis interception, making "y" equal to 0, we have:

$0=x+2$

$-2=x$

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:

$y=x+2$

$y=0+2=2$

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!