Question

Write the equation of the quadratic function with roots 0 and 1 and a vertex at (1/2, -2/3)

Answer 1

how do the roots helps us?

Answer 2

I did the work and i start getting confused after -2/3 a (1/2)^2 - 1 (1/2 + 0)

@amistre64

Answer 3

roots tell us about factors

x(x-1) will zero out when x=0, or x=1

and any multiple of this will also have the same zeros; since anything times 0 = 0

y = ax(x-1)

now define a by using the given point x=1/2, y=-2/3

-2/3 = a 1/2 (1/2-1)

-4/3 = a (-1/2)

etc ...

Answer 4

the quadratic of course might be of the form:

y = ax^2 -ax, but im not sure how they want it presented.