An insurance agent receives 15% of the cost of each insurance policy she sells

In this question there are several important information's provided. Using these information's it is easy to get the answer to the question asked. Firstly it is already informed that the insurance agent gets a commission of 15% of the policy price for every policy sold. The agent sells a policy of $300.
Now we can write the equation as:
15% of $300 = [(15/100) * 300] dollars
                     = ( 15 * 3) dollars
                     = 45 dollars
So the agent gets a commission of $45 for selling a policy worth $300

minimum at (2, - 2 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

If a > 0 then the vertex is a minimum

If a < 0 then the vertex is a maximum

Given

f(x) = 2x² - 8x + 6 ← factor out 2 from the first 2 terms

     = 2(x² - 4x) + 6

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

f(x) = 2(x² + 2(- 2)x + 4 - 4) + 6

     = 2(x - 2)² - 8 + 6

     = 2(x - 2)² - 2 ← in vertex form

with vertex = (2, - 2) and a > 0

Thus minimum at (2, - 2 )