Answer:
c. both
Step-by-step explanation:
Given equation is [tex]y^2=x^2[/tex]
Now we need to check if the graph of [tex]y^2=x^2[/tex] 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
[tex]y^2=(-x)^2[/tex]
[tex]y^2=x^2[/tex]
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
[tex](-y)^2=x^2[/tex]
[tex]y^2=x^2[/tex]
That is same as previous equation.
Hence given graph is symmetric about x-axis.
So the correct choice is c. both
Answer:
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
