Y = x^2 + 2x + 4. how do i express this in the form a(x+b)^2 + c and show co ordiantes of min point of c?

thanks need full working pleasee

Y = x^2 + 2x + 4. how do i express this in the form a(x+b)^2 + c and show co ordiantes of min point of c?
Definition: a(x - b)^2 + c, where


(b,c) is the vertex.





Use completing the square.





~~~~~~~~~~~~~~~~~~~~~~~~





x² + 2x + 4





(x² + 2x + ?) + 4 - ?





? = (2/2)² = 1





(x² + 2x + 1) + 4 - 1





(x + 1)² + 3





The vertex is (-1,3) and the minimum is at x = -1 since a %26gt; 0.
Reply:y = x² + 2x + 4


y = (x² + 2x + 1) - 1 + 4


y = (x + 1)² + 3


Min point is (- 1,3)