Question

Which Statement Best Describes The Translation From F(x) = 4ˣ To G(x) = 4ˣ⁻² ?

A. Shifted 2 Units Left
B. Shifted 2 Units Right
C. Shifted 2 Units Down
D. Shifted 2 Units Up

Answer 1

The translation from the function F(x) = 4ˣ to G(x) = 4ˣ⁻² can be described as a shift 2 units right.

Step-by-step explanation:

The translation from the function F(x) = 4ˣ to the function G(x) = 4ˣ⁻² can be described as a shift 2 units right.

To understand this, we need to analyze how the exponent changes:

1. In F(x) = 4ˣ, the exponent is x.
2. In G(x) = 4ˣ⁻², the exponent is x⁻².

When we have a negative exponent, it indicates that the function has been shifted in the opposite direction. Since the exponent has changed from x to x⁻², which is equivalent to 1/x², the function has been shifted 2 units to the right.