On a coordinate plane, 2 curves are shown. The first curve f (x) opens up and to the right in quadrant 1. It goes through (4, 2), (1, 4), and crosses the y-axis at (0, 5). The second curve g (x) opens down and to the right and goes through (4, negative 2), (1, negative 4), and crosses the y-axis at (0, negative 5). Which function represents a reflection of f(x) = 5(0.8)x across the x-axis? g(x) = 5(0.8)–x g(x) = –5(0.8)x g(x) = One-fifth(0.8)x g(x) = 5(–0.8)x

g(x) = –5*(0.8)^x

Step-by-step explanation:

In order to get the reflection of a function across the x-axis, you have to multiply that function by (-1)

Given the function:

f(x) = 5*(0.8)^x

then, its reflection across the x-axis is -f(x) = g(x) = –5*(0.8)^x. This result can be checked replacing the known points into the equation, as follows:

x |  g(x)

0 | –5*(0.8)^0 = -5

1  | –5*(0.8)^1 = -4

4 | –5*(0.8)^4 = -2

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

try soting them out first

step-by-step explanation: