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Complete the square
y = x^2 - 14x = (x^2 - 14x + 49) - 49 = (x-7)^2 - 49.
So, the vertex form is
y = (x-7)^2 - 49.
Coordinates of the vertex are x= 7, y= -49. ANSWER
Solved.
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On completing the square see the lesson
- HOW TO complete the square - Learning by examples
in this site.
On finding the vertex of a parabola, see the lessons
- HOW TO complete the square to find the vertex of a parabola
- Briefly on finding the vertex of a parabola
in this site.