Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
 = -6 - 8
 = -14
 = p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
 = 7.5 - 12.5
 = -5
 = q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
 f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
 
 
        
             
        
        
        
Answer:
8-14 or -6
Step-by-step explanation: