Answer:
[tex]y=3^{x+3}-2[/tex]
Step-by-step explanation:
The graph of y = 3^x will pass through the point (0, 1). This graph passes through the point (-3, 1); it has been shifted to the left 3 units.
A function can be translated, or shifted, to the left by adding a number to x before the function is applied; in this case, it means adding 3 to x before the base is raised to the power. This gives us
[tex]y=3^{x+3}[/tex]
This graph has also been translated, or shifted, down 2 units. This can be done by subtracting a number from the end of the function; this gives us
[tex]y=3^{x+3}-2[/tex]
