The absolute value function g(x) = |x − 2| − 1 is translated 3 units right and 4 units up to become g'(x). The quadratic function f(x) graphed below is moved 2 units right and 7 units up to become f'(x). Which of these two transformed functions has a range of y ≤ 3, and what is the vertex of this transformed function?

g'(x) has a range of y ≤ 3, and its vertex is at (1, 3).
g'(x) has a range of y ≤ 3, and its vertex is at (5, 3).
f'(x) has a range of y ≤ 3, and its vertex is at (−4, 3).
f'(x) has a range of y ≤ 3, and its vertex is at (0, 3).

50-38=12

step-by-step explanation:

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.