Question

The graph of g(x) is a transformation of the graph of f(x)=4x .

Answer 1

Answer:

g(x) = 4^x + 1.

Step-by-step explanation:

The graph of f(x) = 4^x  passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1,  4^x=  4.  So it passes through (1, 4).

For g(x) we have corresponding points (0, 2) and (1, 5).

So we see that g(x) is a similar graph but it has been translated up 1 unit.

Answer 2

Answer:

g(x) = 4x + 1

Step-by-step explanation:

The graph of f(x) = 4x  passes through the point (0,0) and (1, 4) because when x = 0 f(x) = 0. Also when x = 1,  4x=  4.

For g(x) we have corresponding points (0, 2) and (1, 5)

g(x) = 4x + c

when x = 0, g(x) = 2 but c must be 2

when x = 1, g(x) = 5 and c changes to 1

So we see that g(x) is a similar graph but it has been translated up 1 unit.