Answer:
Option A. 
Step-by-step explanation:
<u><em>The complete question is</em></u>
The function g is given in three equivalent forms.
Which form most quickly reveals the vertex?
A)g(x)= 1/2(x-8)^2-8
B)g(x)= 1/2(x-12)(x-4)
C)g(x)= 1/2x^2-8x+24
we know that
The equation of a quadratic function in vertex form is equal to

where
a is the leading coefficient
(h,k) is the vertex of the function
In this problem, the option A is the equation of the function in vertex form
we have

where the vertex is the point (8,-8)
therefore
Option A
Slope = rise/run.
slope = change in y/change in x.
slope = (4-2)/(7-4)
slope = 2/3.
<em>Note: Your question sounds a little unclear, but I am assuming that your system of equations is:</em>


It would anyways clear your concept because the procedure to find the solutions remains the same for any set of a system of equations.
Answer:
The solution of the system of equations be:

Step-by-step explanation:
Given the system of equations



so adding the equation




so the system equations become




Add 46/3 to both sides


Therefore, the solution of the system of equations be:
