Plz
describe the relationship between the graph of f(x) = x2 and the graph of g(x) = (x – 4)2 + 3.
a.
they are exactly the same function.
b.
the graph of g(x) looks exactly like the graph of f(x), but it has been moved 3 units to the right and 4 units up.
c.
the graph of g(x) looks exactly like the graph of f(x), but it has been moved 4 units to the left and 3 units up.
d.
the graph of g(x) looks exactly like the graph of f(x), but it has been moved 4 units to the right and 3 units up.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answer: i believe its b. if you sound out the sentences that sounds wrong.