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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.

Sagot :

Answer:

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

Step-by-step explanation:

Given

[tex]f(x) = 2^x[/tex]

[tex]g(x) =2^x + 6[/tex]

Required

Compare g(x) to f(x)

Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]

[tex]g(x) = f(x) + 6[/tex]

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