Question

Consider the function f(x) = 2^x

and function g
g(x) = f(x) + 6
How will the graph of function g differ from the graph of function ?

Answer 1

The graph of function g is the graph of function f shifted 6 units up

Explanation:

If you plug in the values,
`g(x) = 2^(x) + 6`. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.