Answer:
The vertex of the parabola is (-2,0)
Step-by-step explanation:
The given function is:

Now, in order to find the vertex for the parabola, that is v(h,k), comparing the above equation with the standard form of equation that is
, we get
a=-3, b=-6 and c=0
We know,
and
, therefore
and 

Thus, the vertex is given as:(h,k)=(-2,0).
Answer:
n = -3
Step-by-step explanation:
-96 = 4(6n - 6)
-96 = 24n - 24
-72 = 24n
-3 = n
Use the pythagorean theorem: a^2 + b^2 = c^2
24^2 + 7^2 = x^2
576 + 49 = x^2
x^2 = 625
√x^2 = √625
x = 25