Question

What does vertex mean ?

Answer 1

`x^2+18x+95=2`

In a graph of a quadratic equation the vert4ex is the extreme point (maximum or minimum).

To write the given equation is vertex form:

`y=a(x-h)^2+k`

1. Write the equation in standrad form:

`f(x)=ax^2+bx+c`

`\begin{gathered} f(x)=x^2+18x+95-2 \\ \\ f(x)=x^2+18x+93 \end{gathered}`

2. Find the coordinates of the vertex (h,k):

To find the coordinate h use the next formula:

`h=(-b)/(2a)`
`h=(-18)/(2(1))=-9`

To find the coordinate k evaluate f(x) when x=h: