we know that
The vertex of the function
is the point 
The vertex of the function
is the point 
The x-coordinate of the vertex is equal to h
the y-coordinate of the vertex is equal to k
so
the value of h is 
the value of k is 
the equation is

therefore
<u>the answer is the option a</u>

You are supposed to use the third option: 3n2 + 6n + 5 = 116.
Take a look at the attachment to see how I got that solution.
Hope it helps! :)
Answer:
131
Step-by-step explanation:
Using proportion,
If Out of 550 calculators = 6 are defective,
Then out of 12000 calculators = ? are defective

= 21.8 * 6
= 130.8 ≈ 131
∴ Approximately 131 calculators are defective