Answer:
Complete the square = ( x + 2 )² - 1
minimum = (-2 , 1 )
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 )