Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following algebraic representations could be used for that transformation? Select one:

(x, y)→(−x, y)

(x, y)→(4x,4y)

(x, y)→(x, y+6)

(x, y)→(x+6,y)

C) (x,y) → (x,y+6)

Step-by-step explanation:

As the x value stays the same after the transformation, we know that there can be no changes to the value x, automatically limiting the options to answer C.

The mathematical way to find the value y is changed by would be by setting up a small equation as follows:

, where n is some number that the y value is altered by.

Solving for n gives the value 6, proving that the translation must add 6 to the y value.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!