Find the formula

Question

Find the formula for the parabola through the points (-1,0) , (3,0) and (0,6).

 

Answer 1

(-1,0), (3,0), (0,6)

have endless parabolas through them, but it narrows down if restricted to horizontal and vertical parabolas

it helps to plot the points

most standard parabola is vertical, downward opening

f(x) = -2(x+1)(x-3)

f(x) =-2(x^2 -2x -3)

f(x) = -2x^2 +4x +6 is a parabola through the 3 given points