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

Answer 1

x = a is a vertical line.

Answer 2

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

Answer 3

im guessing quadratic

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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