1. y = a(x + 5)^2 + 6
2. y = a(x - 1)^2 + 4
3. y = a(x + 2)^2 - 6
4. y = a(x - 4)^2 - 10
5. y = a(x + 2)^2 - 4
6. y = a(x - 3)^2 + 12
These are the equations of the quadratic in vertex form, where (h, k) are the vertex coordinates, and a is the coefficient of x^2. In each case, the x-intercepts provided are plugged into the equation to check if it equals zero, which is how we can confirm that it is a correct equation for the parabola.
I hope this helps :)