Let, us assume that quadratic equation is :
[tex]y = ax^2 + bx + c[/tex]
Now, putting x = 0 and y = -4 :
[tex]c = -4[/tex]
Also, putting x = 1 and y = -3 :
[tex]ax^2 + bx + c =y\\\\a + b - 4 = -3 \\\\a + b = 1[/tex] ....2)
Also, putting x = 2 and y = 0 :
[tex]ax^2 + bx + c =y\\\\4a + 2b + c = 0\\\\4a + 2b = 4\\\\2a - b = 2[/tex]....3)
Solving equation 2 and 3, we get :
a = 1 and b = 0
Therefore, the quadratic equation is given by [tex]y = x^2- 4[/tex] .
