Question

Which function represents a reflection of f(x) = 5(0.8)x across the x-axis? A. g(x) = 5(0.8)–x B. g(x) = –5(0.8)x C. g(x) = 1/5(0.8)x D. g(x) = 5(–0.8)x

Answer 1

2nd option

Explanation:

Answer 2

If g(x) is a reflection of f(x) over the x axis, then g(x) = -1*f(x), which can be shortened to g(x) = -f(x). We stick a negative outside the entire f(x) function to flip the signs of each y coordinate. For example, if the point (1,2) was on f(x), then (1,-2) is on g(x).

So f(x) = 5(0.8)^x turns into g(x) = -5(0.8)^x

Answer: Choice B