Question

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

Answer 1

y coordinate of vertex would be 5.

First write the equation in standard form by completing the square of the terms containing x.

y= `x^2` -6x +9 +5
= `(x -3)^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.