Question

Great work. Much Appreciate it :)

Answer 1

to determine if the parabola opens upward, look at the sign of a. note that is in the form y=ax^2+bx+c. If the sign of a is positive, then, it opens upward, if its negative it opens downward.

Answer 2

On figure A, the parabola opens upward. Notice that the vertex is minimum. For figure b, vertex is maximum.

Answer 3

Let me give you an example: y = x^2 + 4x + 4. Here a = 1. So, the parabola opens upward.
Since its opens upward, then the vertex is minimum.

Answer 4

For the vertex, you may retype it as: y=(x-h)^2+k using Completing the square.