Question

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

Answer 1

y-axis

Explanation:

Answer 2

We have been given two functions:

`y=2^x` and
`y=2^(-x)`

Question says that graph of
`y=2^x` and
`y=2^(-x)` 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
`y=2^x=2^2=4`

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
`y=2^(-x)`

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.