Solution.
Equation:
y = a(x-p)(x-q)----------------(1)
from the given graph
(-1,0) (2,0)
p = -1 and q = 2
Also form (0.5, -4.5)
x = 0.5, y = -4.5
So I will substitute the value of p and q into equation 1
y = a(x-p)(x-q)
y = a(0.5- -1)(0.5-2)
-4.5 = a(0.5+1)(-1.5)
-4.5 = a(1.5)(-1.5)
-4.5 = a x -2.25
a = -2.25/-4.5
a = 0.5
Substitute a into equation 1
y = 0.5(x-p)(x-q)
y = 0.5(x--1)(x-2)
y = 0.5(x+1)(x-2)
