Question

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

Answer 1

Use the vertex form of the parabola:
y = a(x-xV)^2 + yV
y = a(x - 1/2)^2 - 2/3

plug in 1 of the roots
0 = a(0 - 1/2)^2 - 2/3
0 = a/4 - 2/3
a/4 = 2/3
a = 8/3

the equation of the parabola:
y = 8/3(x - 1/2)^2 - 2/3
or y = 8/3*x^2 - 8/3*x

Answer 2

medal me if helped

Answer 3

welcome to open study!! but okay whats the options example A,B,C,D?