A soccer ball is kicked into the air. .
The initial height of the ball was 1 foot off the ground.
After 3 seconds, the ball reached a maximum height of 20 feet in the air.
1.
Find an equation for the parabola that models the path of the ball. Let x represent the
number of seconds since the ball was kicked, and y represent the height of the ball
above the ground in feet.
After how many seconds did the ball hit the ground?

  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).

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

i can answer this if i have the answer choices