To write this equation in vertex form, we must use the method of square completion.
For this we do the following procedure:
1) [tex]y = (x ^ 2-14x) +52[/tex] Separate the x
2) [tex]y = (x ^ 2 -14x + (14/2) ^ 2) +52 - (14/2) ^ 2[/tex] add and subtract [tex](b / 2) ^ 2[/tex]
Where b is the coefficient of x
[tex]y = (x ^ 2 -14x + 49) +52 - 49[/tex]
3) [tex]y = (x-7) ^ 2 + 3[/tex] We factor the terms within the parentheses and we have written the equation in the form of vertex.
Finally, the vertex of the equation is: (7,3)
