Question

Transform the graph of f(x)=3^x to sketch g(x)=3^−(x+1) −2. Show table of values and each transformation clearly.

Answer 1

Correct me if I'm wrong but the equations we're dealing with are:

\[f(x)=3^x\]\[g(x)=3^{-(x+1)}-2\]
Do you have any ideas about what the transformations might be?

Answer 2

yes that is correct

Answer 3

flipped over the y-axis
shifted left by 1
shifted down by 2
i think those might be the transformations

Answer 4

All correct!

Answer 5

what would be the table of values?

Answer 6

Use numbers that work easily into the parent equation, in this case f(x)=3^x. So I'd say x-values from 0 to 5 and their corresponding y-values.