please add the process to get to the answer of all the problems

Find the vertex and determine if it is a maximum point or a minimum point

1. y = x^2 + 8x - 5

2. y = 3x^2 + 12x

3. y = -7x^2 - 15

4. y = 6x^2 - 24x + 19

Solve the following quadratic equations using the quadratic formula

a) 10x^2 - 11x + 3 = 0

b) -16 - 24x - 9x^2 = 0

c) -8x^2 + 18x + 2 = 9

Determine maximum or minimum income, earnings and investments through the vertex of a quadratic equation.

1. Mr. Figueroa owns a kitchen utensils store. When the store sells "x" items per week, the revenue is described by the quadratic function:

f (x) = 48x - 0.06x^2

a) Calculate the number of items you should sell each week for maximum income.

b) What is the maximum income?

2.A company that manufactures handbags has determined that the dollar cost of producing handbags per month is given by the quadratic equation:

c(x) = 0.003x^2 + 45.35x + 7326

a) What must be the monthly production so that the company obtains the maximum profit, if each bag is sold for $65?