What is the vertex for g(x)=(x-3)+22

Step-by-step explanation:

I think you meant g(x) = (x - 3)^2 + 22.

Compare this to    y - k = m(x - h)^2 (vertex form of the equation of a parabola)

and notice that k = 22 and h = 3.  Therefore, the vertex is at (h, k), which here is (3, 22).

  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).

step-by-step explanation:

the shape,the size and the distance