Question

There is a unique parabola that goes through the points P = ( 1, 1), Q = (1, 1), and
R=(5,6) that can be described by y=ax^2 +bx+c. Find coefficients a, b, and c.

Answer 1

P and Q are the same point

need 3 DIFFERENT points

Answer 2

oh sorry P=(-1,1)

Answer 3

plug the points into the general equation and solve the system

P...1 = a - b + c

Q...1 = a + b + c

R...6 = 25a + 5c + c

Answer 4

ok...I got b=0, a=5/24, c=19/24 is that right?

Answer 5

looks good