Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?

g(x) = –3/7(2)x
g(x) = 3/7(–2)x
g(x) = 3/7(one-half)–x
g(x) = 7/3(2)–x

Given:

The given function is

We need to determine the reflection of f(x) over the x - axis

Reflection over x - axis:

The translation rule to reflect over the x - axis is given by

Reflecting the function over the x - axis, we get;

Multiplying -1 to both sides of the equation, we have;

This can be written as

Hence, the reflection of the function over the x - axis is

Thus, Option A is the correct answer.

72 fudge and 75 toffee

step-by-step explanation:

i hope this : )

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.