Question

Select the correct answer.

Consider the function f(t) = 2* and function g.
g(t) = (1) + 6
How will the graph of function g differ from the graph of function f?
ΟΑ.
The graph of function g is the graph of function fshifted 6 units to the left.
B.
The graph of function g is the graph of function fshifted 6 units up.
Ос.
The graph of function g is the graph of function fshifted 6 units to the right.
OD.
The graph of function g is the graph of function fshifted 6 units down.

Answer 1

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

Explanation:

Given

`f(x) = 2^x`

`g(x) =2^x + 6`

Required

Compare g(x) to f(x)

Substitute
`f(x) = 2^x` in
`g(x) =2^x + 6`

`g(x) = f(x) + 6`

This implies that f(x) is shifted 6 units upward to give g(x)