The average rate of change in a function from a to b is
.
For the left function, from x = 4 to x = 5, the rate of change is
.
For the right function, the rate of change is
Using a ratio to compare the right function's growth rate with that of the left function, you get .
The right function is growing approximately 21 times faster than the left function (over the interval from 4 to 5).
Answer:
Step-by-step explanation:
think of the flight of a small rocket.. what does it seem like the parabola would look like? down means it looks like a cup or glass , upside down , up mean a cup or glass right side up.
when t = 0 the rocket is at 25, so that's the initial height
it's velocity is initially 200 m/s
put equation from std. form to vertex form
y = a + bx +c => y = a(x - h ) ^2 + k
h = -4.9 + 200t + 25 =>h = -4.9(t - 20.41)^2 + 2,065.82
(h,k) = (20.41 , 2065.82)
