The function f(x) goes through the point (-2, 6). Which of the following translations of f(x) will go through the point (3, 5)?
A) f(x – 5) – 1
B) f(x + 5) + 1
C) f(x – 5) + 1
D) f(x + 5) – 1

D) f(x + 5) - 1

Step-by-step explanation:

If original points are

(-2, 6)

add 5 to x, which in this case is -2

and -2 + 5 = 3

then subtract 1 from f(x), and f(x) = y, which is 6

and 6 - 1 = 5

so now you have the points (3, 5)

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b