Give an example of a quadratic function that has zeroes at x=2 and x=4, and that takes the value 6 when x=8. Enter your answer in the expanded form "ax^2 + bx + c", where a,b,c are replaced by appropriate numbers.
If roots are 2 and 4 then
(x-2)(x-4) = 0 expand
x^2 -6x + 8 = 0 when x = 8 this equals 24
it needs to be = 6
so multiply the whole thing by 1/4 ( this will not change the zeroes)
1/4 x^2 - 1.5 x + 2 = 0
