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3 years ago

Complete the square to determine the minimum or maximum value of the function defined by the expression. X2 + 4x + 3

Mathematics

1 answer:

Flauer [41]3 years ago

8 0

Answer:

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 )

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