Question

G(r)=−(r+11)(r+14)

1) What are the zeros of the function?

Write the smaller r first, and the larger r second.

smaller r____

larger r_____

2) What is the vertex of the parabola

(___,____)

Answer 1

smaller r = -14
larger r = -11
Vertex = -25/2, 9/4

Explanation:

I checked it on khan, its right hope this helps :D

Answer 2

The zeros are

Larger
`r=-11`

Smaller
`r=-14`

2)The vertex is (-12.5,-2.25)

Explanation:

The given function is:

`g(r)=(r+11)(r+14)`

This function is already in the factored form therefore it is easy to find the zeros,

`(r+11)(r+14)=0`

Either
`(r+11)=0` or
`(r+14)=0`

The zeros are
`r=-14` or
`r=-11`

b) The expanded form of the given function is:

`g(r)=r^2+25r+154`

We obtain the vertex form by completing the square:

`g(r)=r^2+25r+((25)/(2))^2+154-((25)/(2))^2`

The vertex form is:

`g(r)=(r+(25)/(2))^2-((9)/(4)`

Therefore the vertex is (-12.5,-2.25)