Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 + 4x + 3

Complete the square = ( x + 2 )² - 1

minimum = (-2 , 1 )

Step-by-step explanation:

Given the equation = x² + 4x + 3

To find,

Minimum by completing square

Completing Square:

x² + 4x

( x + 2 )²- 2²      Divide 4 by 2 , Add and subtract the answer

( x + 2 )² - 4

x² + 4x + 3

( x + 2 )² - 4  + 3

( x + 2 )² - 1

The minimum of the graph form is y = a(x + b)² - c at co ordinates (-b , c)

So, the minimum is at (-2 , 1 )

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

-2/