Answer:
Step-by-step explanation:
I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:
and

(Just a fun fact: Those expressions come from the quadratic formula that help us to factor a quadratic equation.)
Filling in for h:
simplifies to

Filling in for k:
which simplifies a bit to
which simplifies a bit more to

The vertex, then, is (4, -25).
You would also find this if you completed the square. But again, I'm not sure how you're solving for the vertex in class.
I think it's A, but I'm not sure
Answer:
If Discriminant,
Then it has Two Real Solutions.
Step-by-step explanation:
To Find:
If discriminant (b^2 -4ac>0) how many real solutions
Solution:
Consider a Quadratic Equation in General Form as

then,
is called as Discriminant.
So,
If Discriminant,
Then it has Two Real Solutions.
If Discriminant,
Then it has Two Imaginary Solutions.
If Discriminant,
Then it has Two Equal and Real Solutions.