Question

Describe what transformations of the parent exponential function f(x) = 2ˣ will result in the graph of the given function. 5. g(x) = 3/4 (2)ˣ + 1

Horizontal stretch, vertical compression, vertical shift up
Horizontal compression, vertical stretch, vertical shift down
Horizontal stretch, vertical stretch, vertical shift up
Horizontal compression, vertical compression, vertical shift down

Answer 1

The transformations of the parent exponential function f(x) = 2ˣ that will result in the graph of the given function g(x) = 3/4 (2)ˣ + 1 are a horizontal stretch by a factor of 1/2, vertical compression by a factor of 4/3, and vertical shift up by 1 unit.

Step-by-step explanation:

The transformations of the parent exponential function f(x) = 2ˣ that will result in the graph of the given function g(x) = 3/4 (2)ˣ + 1 are:

1. Horizontal stretch by a factor of 1/2
2. Vertical compression by a factor of 4/3
3. Vertical shift up by 1 unit