Arestaurant charges a single price for its buffet. the total bill for a table of 6 people having the buffet was $294. each of the 8 people at a second table also had the buffet. what was the total bill at the second table

We are given the quadratic function:

The vertex form is given by:

So we have to convert our quadratic form into this vertex form.

We can do so by applying factoring by completing the square method.

Step 1:

We take half of coefficient of x and add it to x.

Coefficient of x is 14, half of it is 7.

(x+7)²

Step 2:

Subtract square of 7 that is 49,

(x+7)²-49+40

(x+7)²-9

The vertex form is given by: