Write the equation of the parabola in vertex form. vertex (1,1), point (2,-4)

Answer 1

Since the vertex is at (1,1)the equation is y= a(x-1)^2 + 1

substitute 2 for x and -4 for y to solve for a

-4= a(2-1)2 +1

-4 =a+1

a=-5

so equation is y= -5(x-1)^2 +1