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The graph below shows f(x), which represents a parent function, and g(x), which represents a translation of that function.

On a coordinate plane, 2 exponential functions are shown. f (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 3, 8) and crosses the y-axis at (0, 0.5). g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes crosses the y-axis at (0, 14) and goes through (1, 5) and (2, 2).
Which statements about the functions are true? Check all that apply.

f(x) = (one-half) Superscript x
g(x) = (one-half) Superscript x + 4 – 2
The ranges of both functions are the same.
The domains of both functions are the same.
The translation from f(x) to g(x) is right 4 units and down 2 units.

Sagot :

Answer:

A. f(x) = (one-half) Superscript x  

D. The domains of both functions are the same.

E. The translation from f(x) to g(x) is right 4 units and down 2 units.

The answers are A, D, and E

Step-by-step explanation:

Edge 2020

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