Question

Exponential Functions HELPP

Answer 1

The red one is f(x)=8^x
The blue one is f(x)=8^(x+5)+1

Horizontal translation 5 units left
verticals translation 1 unit up


Best of luck!

Answer 2

1) Replacing x by x+5 translates the graph 5 units left (2nd selection). Adding 1 to the value of the function translates it 1 unit up (6th selection).

2) To stretch a function vertically by a factor of k, you multiply it by k.

`g(x) = 3f(x) = 3 * (8(3)^(x-2) +2) = 24(3)^(x-2) +6`

3) g(x) is f(x) moved 2 units left and 1 unit up. (See problem 1 for clues.)

`g(x) = 3^(x+2)+1`