Question

I need help with this problem right away please.

Answer 1

Answer:

y= -1/9(x-1)^2 +2

Step-by-step explanation:

The vertex is at (1,2) and another point is at (-2,1).

We know the vertex form of a parabola is

y= a(x-h)^2 +k  where (h,k) is the vertex  

Substituting the vertex in

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

We have another point, (-2,1)

Substitue this in with x=-2 and y =1.  This will let us find a

1 =  a(-2-1)^2 +2

1 = a (-3)^2 +2

1 = a*9 +2

Subtract 2 from each side

1-2 = 9a +2-2

-1 = 9a

Divide by 9

-1/9 = 9a/9

-1/9 =a

Putting this back into the equation

y= -1/9(x-1)^2 +2