Respuesta :

None of the graphs are for any translation of y = 3x. All are for a translation of
  y = 3^x . . . . . where x is an exponent, not a multiplier
Please use correct mathematical notation. This may require you to edit your pasted question before you post it.

The transformation from f(x) to f(x) +2 causes the graph to be shifted upward by 2 units. The last selection is the correct one.
Ver imagen sqdancefan

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.

Ver imagen OrethaWilkison