Answer:

Step-by-step explanation:
The vertex form for a quadratic equation has the following form:

Where the vertice of the equation is the point (h, k)
To transform the equation
in its vertex forms we must find its vertex.
Be a quadratic equation of the form:

Where a, b and c are real numbers, then the vertex of the equation will be:

For the given equation:

Therefore the vertice is:

Now we substitute x = 6 into the equation and find the value of k.

Therefore the vertice is: (6, -16)
And the equation is:

Answer:
C
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
it is a bit unclear to me, what that problem description means.
if I understand it correctly, than z is directly depending on x².
so, z = 16 for x = 2. x² = 4
I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).
I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²
that would mean
z = 4×x² = 4×5² = 4×25 = 100