Answer:
Option D is correct
Step-by-step explanation:
Exponential function is in the form of [tex]y=ab^x[/tex] where a is the initial value and b is the growth factor.
Vertical shift:
- To obtain the graph f(x)+k, shift the graph of f(x) up k units.
- To obtain the graph f(x)- k, shift the graph of f(x) down k units.
Given the parent function: [tex]f(x) = 3^x[/tex]
Then;
g(x) = f(x)+2
[tex]g(x) = 3^x+2[/tex]
First we make a table values for g(x);
x [tex]g(x) = 3^x+2[/tex]
0 3
1 5
2 11
3 29
4 83
Note, as x increase, g(x) increases.
Now, we graph the function on the coordinate plane as shown below.
we must observe that the graph of g(x) is the graph of f(x) shifted up 2 units.