What is the vertex of the quadratic function f(x) = (x – 6)(x + 2)?

Placing the quadratic function in standard form, it is found that the vertex is: (2,-16).

---------------------------------------

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

---------------------------------------

In this question, the function is:

To find the vertex, the function has to be in standard form. Thus:

Which has coefficients .

---------------------------------------

Thus, for the vertex:

The vertex of the quadratic function is (2,-16).

A similar problem is given at link

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.