The graph of y = 2 x and the graph of y = 2 -x are symmetrical. what is the line of symmetry?

We have been given two functions:

and

Question says that graph of and are symmetric about a line. Now we have to find that line of symmetry.

So let's graph both equations to find that line of symmetry.

we can plug any number for x like -3, -2, -1, 0, 1, 2, ...

for x=2, we get

So we get point (2,4)

Same way we can find more point then graph those points and join them

We can repeat same process for other equation

So the graph will look like the attached picture.

From graph we can see that both lines are mirror image that is symmetric about the y-axis .

Hence final answer is that line of symmetry is y-axis. or you can say x=0.

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step-by-step explanation: