Select all of the following that are quadratic functions. x = 3y2 – 6y + 5

y + 3 = –2 x 2+ 5

y = 2 x 2 – 8 x + 6

y= –7 x – 4

y – 3 x = 4 x 3 – x2 + 9

y = 5 x(x + 9) – 8

y – 2 x 2 = 3 x – 2 x 2 + 4

  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).

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step-by-step explanation: