Open the graphing tool. You will see a graph of the quadratic function f(x). You’ll also notice a graph of a linear function. Manipulate the sliders for m and b to move the linear function around, and answer the following questions. Part A

Find two intervals where the average rate of change is approximately 2. What is true about the value of m on the linear function when it also goes through the endpoints of these intervals?

Step-by-step explanation:

Let the function be a cosine function

H(t)= A cos(B(t+C)) + D

Average height = -20 cm

The object's maximum and minimum heights are each 5 cm from its average height. Therefore:

Maximum Height,

Minimum Height ,  

The amplitude, A is denoted by :

The vertical shift, D is denoted by :

The period T is given by,

T=2 seconds

The phase shift , C is given by:

C=-0.2 (since it first achieves its average height to the right at t=0.2 sec)

Therefore, our function is defined as: