Question

True or False. Explain. If the graph of y=f(x) is symmetric with respect to the y-axis, then the graph of y=f(-x) is symmetric with respect to the y-axis.

Answer 1

true

Answer 2

how come?

Answer 3

The way you figure out if a function is symmetric with respect to the y-axis is to substitute -x for x, and see if the function values are equal. In other words, a function is symmetric about the y-axis if
f(x) = f(-x)

Now if you change it around:
f(-x) = f(-(-x)
or f(-x) = f(x)

Answer 4

ohhh thank you so much!!!!!! @jabberwock and @XxDaMathWizxX

Answer 5

No worries :)

Answer 6

:)

Answer 7

np