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 )

step-by-step explanation:

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i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: