The graph of y^2=x^2 is symmetric with respect to which axis? a. x-axis c. both b. y-axis d. neither

c. both

Step-by-step explanation:

Given equation is

Now we need to check if the graph of   is symmetric with respect to which axis?

a. x-axis c. both b. y-axis d. neither

We know that if f(-x) reflect the graph about y-axis

so let's change x by -x into given function to see if that equation remains unchanged or not

That is same as previous equation.

Hence given graph is symmetric about y-axis.

We know that if -f(x) reflect the graph about x-axis

so let's change y by -y into given function to see if that equation remains unchanged or not

That is same as previous equation.

Hence given graph is symmetric about x-axis.

So the correct choice is c. both

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step-by-step explanation:

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