# What is the y coordinate of the vertex of a parabola y=x^2-6x+14?

y= ${x}^{2}$ -6x +9 +5
= ${\left(x - 3\right)}^{2}$ +5. Having done this the vertex of the parabola is is given by x-3=0, that is x=3 and y=5. Hence y coordinate is 5.