The point a(–1, 4) is translated five units right and three units down. which rule describes the translation?
(x, y) --> (x+5,y+3)
(x, y) --> (x+5,y-3)
(x, y) --> (x+3,y+5)
(x, y) --> (x-3,y+5)

SECOND OPTION.

Step-by-step explanation:

Given the following point identified as "A":

You can identify that the x-coordinate of the point is:

And its y-coordinate is:

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.

Therefore, you can conclude that the rule that best describe the translation of the point is the following:

→

Then, the point translated is:

→

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3