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Mathematics, 04.04.2020 02:18 maxraph108

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.

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