What is the equation of a parabola that goes through points (0,1), (–1,6), and (2,3)?
Hello
a parabola has the form f(x) = ax^2 + bx + c
use your points
f(0) = a*0 + 0*b + c = 1
f(-1) = a*(-1)^2 + b*(-1) + c = 6
f(2) = a*(2)^2 + b*(2) + c = 3
Can you solve these three equations? yes YOU can
[solution: c = 1, a=2, b=-3]
=> f(x) = 2x^2-3x+1 is the equation of the parabola that goes through the given points (0,1), (–1,6), and (2,3)
Regards,
Rapha