1. A function of f(x) is symmetric with respect to the vertical line x = a if f(a-x) = f(a+x)
a) Draw the graph of a function that is symmetric to x=a
b) Show that if f(x) is symmetric with respect to x=a, then g(x) = f(x+a) is even.

please help

Question

1. A function of f(x) is symmetric with respect to the vertical line x = a if f(a-x) = f(a+x)
a) Draw the graph of a function that is symmetric to x=a
b) Show that if f(x) is symmetric with respect to x=a, then g(x) = f(x+a) is even.

please help

anonymous · Answer

x = a is a vertical line.

anonymous · Answer

So then, what sort of graph would be symmetric to it?

anonymous · Answer

im guessing quadratic

anonymous · Answer

Is the question asking symmetric to the line or around the line?

anonymous · Answer

it's asking to draw a graph that is symmetric to x = 2. what i dont get it how the a value comes in.  im not really sure about this question

anonymous · Answer

You want to find a graph symmetric to x = 2? Around the line x=a?

anonymous · Answer

i guess so..well it's ok. i think i get it thank you anyways!!