A parabola has vertex (0,1) and passes through ( - 12,19). Write its equation in vertex form.

A parabola has vertex (0,1) and passes through ( - 12,19). Write its equation in vertex form.

Y-k = a (x-h) ² Equation of a parabola, where (h, k) are the coordinates of Vertex. Replace h & k by 0 and 1 respectively:

y-1 = a (x-0) ² → y-1 = ax². To calculate a, plug in the given values of (-12,9)

19-1 = a (-12) ² → 18 = 144a and a = 1/8, hence the equation becomes:

y-1 = (1/8). x² OR y = x²/8 + 1