Can someone solve this........?

Question

Consider the following graph of y = f(x).


Without seeing the graph can someone solve this?????

A.) If h(x) = f(x) + 2, what would the new coordinates of P be after the shift? Give answer in (x, y) form.

B.) If k(x)=f(-x) , what would the new coordinates of P be after the reflection? Give answer in (x, y) form.

Answer 1

good luck

Answer 2

Dr Spock got A right. We can't answer B without the graph -- no way to know if f(x) is an odd function, an even function, or neither.

If f(x) is an even function (like x² or cos x), then f(-x) = f(x). If f(x) is an odd function (like x^3 or sin x), then f(-x) = -f(x).

Answer 3

Using ' ---> ' to mean "becomes," if the original point P has coordinates (x, y), the answers to these two processes are:

1. (x, y) ---> (x, y + 2).

2. (x, y) ---> (x, - y).

QED

Live long and prosper.