Question

This is the graph of function f(x)=1/2 (2)^x -4 What is the graph of g (x) =1/2^2x -4

Answer 1

The graph f(x) is:

$f(x)=\frac{1}{2}(2^x)-4$

This is an exponential function of the form

$f(x)=ab^x+c$

where a = 1/2, b = 2, and c = -4

Comparing this graph with:

$g(x)=\frac{1}{2}(2)^{2x}-4$

a = 1/2, b = 4, and c = -4

The graph of g(x) is therefore plotted below