Write an equation of the parabola?
How do you write the equation of a parabola in vertex form by completing the square using this equation:
x^2 + 24y - 8x = -16
How do you write the equation of a parabola in vertex form by completing the square using this equation:
x^2 + 24y - 8x = -16
MechEng2030
Favorite Answer
x^2 + 24y - 8x = -16
24y + (x - 4)^2 - 16 = -16
y = -1/24 * (x - 4)^2
So we have a parabola with vertex (4, 0).
Andy P
Grouping
x^2 - 8x + 16 = -24y
(x - 4)^2 = -24y
-1/24( x- 4)^2 = y - 0 or
(y - 0) = -1/24 (x - 4)^2
Mike G
x^2-8x+16-16+24y = -16
(x-4)^2 + 24y = 0
y = -(x-4)^2/24