all the transformation?

Question

y = 4(1/2)^x+1 -3

Answer 1

Start with y = (1/2)^x

Replace x by x+1 to get y = (1/2)^x+1. This translates the graph of the original function 1 unit leftward.

Multiply by 4 to get y = 4(1/2)^x+1. This stretches the graph from the previous step vertically.

Add -3 to get y = 4(1/2)^x+1 - 3, This shifts the graph of the previous function down by 3 units.

Answer 2

y = 4(1/2)^x+1 -3

substitute?

x y

0 -1

1 -2

15 -2.99993........

-1 1

-2 5