Answer: y=-(x-6)(x-8)
Average rate of change: 2
Explanation:
Graph facing downward, so equation is negative
Since the equation is quadratic, the degree is 2.
When you look at the graph, you see the values of x when y=0
x=6 ==> y=0
x=8 ==> y=0
Equation: y=-(x-6)(x-8) ==> add the negative sign to show the equation is going down.
x=5 ==> y=-3 ==> (5, -3)
x=7 ==> y=1 ==> (7, 1)
Slope formula: m=(y2-y1)/(x2-x1)
m=(1-(-3))/(7-5)
m=(1+3)/(2)
m=4/2
m=2 ==> average rate of change