For the division part:

But I think your question differs than this..
Am I right?
as your options do not include 1
Answer:
D.
Step-by-step explanation:
Add the x values and divide by the amount of x's and same with the y's
Answer:
Step-by-step explanation:
it is maximum.
when leading coefficient of x² is negative,
It is downward parabola.
or
y=-2x²+10x+1
=-2(x²-5x+(-5/2)²-(-5/2)²)+1
=-2(x-5/2)²+2×25/4+1
=-2(x-5/2)²+25/2+1
=-2(x-5/2)²+27/2
maximum value of y is 27/2 and is attained at x=5/2
vertex is (5/2,27/2)

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Steps:
1st write out equation
Second write the conjugant and multiply it.

After multiplying you should get,

now after simplifying you should get
