Question

Identify the vertex of y = x2 + 4x + 5.

Answer 1

-2,1

Explanation:

Plug into y = x^2 + 4x + 5 calculator in y equals and then press second (blue button) graph (table/f5). Scroll down the chart until you see the middle of a pattern. You will see

5

2

1

2

5

In the middle of the pattern you will find the y-coordinate, and if you look a little to the left, you will also see the x coordinate. Hope this helps!

Answer 2

ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of


`y = {x}^(2) + 4x + 5`

We complete the square to obtain,


`y = {x}^(2) + 4x + {(2})^(2) - {(2})^(2) + 5`

The first three terms forms a perfect square trinomial.


`y = {(x + 2})^(2) - 4 + 5`

The vertex form is


`y = {(x + 2})^(2) + 1`


This equation is in the form;


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


where (h,k)=(-2,1) is the vertex.