vertex fo the cuadratic function

Question

the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent variable.)

Vertex: (1, −3);

  point: (−1, 9)

Answer 1

y=a(x-1)^2 -3

9= a(-1-1)^2 -3

4a = 9+3=12

a=12/4=3

y=3(x-1)^2 -3

y= 3x^2 -6x