How do you find the average rate of change of #y= -3(x-4)^2+3# over interval [-4,9]? Algebra Graphs of Linear Equations and Functions Slope 1 Answer Edric Y. Nov 5, 2015 #9# Explanation: average rate of change : #(f(b)-f(a))/(b-a)# #b = 9# #a=-4# #((-3(9-4)^2+3)-(-3(-4-4)^2+3))/(9-(-4))# #((-3(5)^2+3)-(-3(-8)^2+3))/(13)# #((-3(25)+3)-(-3(64)+3))/(13)# #((-72)-(-189))/(13)# #9# Answer link Related questions What is Slope? How can slope be undefined? How do you calculate slope from a graph? How do you calculate the slope given two points? How does a positive slope differ from a negative slope? How does change in the slope affect the steepness of a line? Why is the slope of a horizontal line is zero? How do you determine the slope of #(3, –5)# and #(–2, 9)#? How do you determine the slope of #(1/3, 3/4)# and #(–2, 6)#? How do you determine the slope of #(2,7)# and #(7,2)#? See all questions in Slope Impact of this question 1643 views around the world You can reuse this answer Creative Commons License