Answer:
C) [tex]y=3^{x-3}+2[/tex]
Step-by-step explanation:
In this question, from the table looking at the Range row (y values). We can clearly see increasing values. Increasing exponential functions follow this rule:
[tex]y=a^{n} \Rightarrow a>1[/tex]
As [tex]\frac{1}{3}<1 \:[/tex] We can eliminate A, D for they are decreasing exponential functions.
And let's focus on the test for B, and C
[tex]b) y=3^{x-2}-3\\y=3^{-3-2}-3\Rightarrow (-3,-2.9959)\\c) y=3^{x-3}+2\\y=3^{-3-3}+2\Rightarrow (-3,2.0014)[/tex]
As the first coordinate point matches, then it's C the answer
