Question

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

Enter the equation for g(x) in the box.


g(x) =

Answer 1

g(x) = 4x + 1

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.

Answer 2

g(x) = 4^x + 1.

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.