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

User Monika
by
8.1k points

2 Answers

6 votes

Answer:

c. both

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

User Arshid KV
by
9.0k points
6 votes

Answer:

c. both

Explanation:

Given equation is
y^2=x^2

Now we need to check if the graph of
y^2=x^2 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


y^2=(-x)^2


y^2=x^2

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


(-y)^2=x^2


y^2=x^2

That is same as previous equation.

Hence given graph is symmetric about x-axis.

So the correct choice is c. both

User Tara Prasad Gurung
by
8.7k points

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