Answer:
The coefficient of squared term is 1/9
Step-by-step explanation:
The vertex of parabola is (2.-3)
We know the vertex form of a standard parabola
[tex]y=a(x-h)^2+k,\text{ where (h,k) is vertex}[/tex]
Plugging values of h and k, h= 2, k = -3
[tex]y=a(x-2)^2-3[/tex]
Now, x=5, y=-2
[tex]-2=a(5-2)^2-3[/tex]
[tex]-2=9a-3[/tex]
[tex]9a=1[/tex]
[tex]a=\frac{1}{9}[/tex]
Thus, the coefficient of squared term is 1/9
