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)