Let f(x)= 2 |x|
If g(x) is the graph of f(x) shifted right 2 units, write a formula for g(x)
g(x)=
recall that f(x-h) shifts the graph of f(x) h units to the right. So
g(x) = 2|x-2|
To shift the graph of f(x) = 2|x| right 2 units to obtain the graph of g(x), we can add 2 to the x-coordinate of each point on the graph of f(x). So, the formula for g(x) would be:
g(x) = f(x - 2)
This means that for any given value of x, we need to substitute (x - 2) into the original function f(x)= 2|x|.
To shift the graph of f(x) = 2 |x| right 2 units, we can simply replace x with (x - 2) in the equation. This will shift the entire graph horizontally by 2 units to the right.
Therefore, the formula for g(x) is:
g(x) = 2 |x - 2|