Question

Exponential Function:

What happens to the graph of the functions of the first and second graphs? (Describe in detail considering the differences in the functions of each of the graphs)

Answer 1

See below

Explanation:

On the graphs we see transformations of exponential functions

Graphic 1 = Horizontal shift

• f(x) = 2ˣ is the parent function
• g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
• h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit

Graphic 2 =Vertical shift

• p(x) = (1/3)ˣ is the parent function
• r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
• q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units