Last quiz for semester need to pass
use the quadratic equation y = x2 – 6x + 9. where does the vertex of the parabola lie?
a. on the x-axis
b. below the x-axis
c. above the x-axis
d. on the y-axis

You want to complete the square for this question. 
However, we can tell that this equation is a perfect square, because by looking at the form: ax^2+bx+c, b is double the square root of c and c is a perfect square.
Therefore, the equation can be rewritten as y=(x-3)^2. Since there is no translation in the y direction (looking at the general equation y=a(x+d)^2+e, e represents a translation in the y direction), the vertex would neither be above or below, but on the x-axis. The point of the vertex is (3,0) from this equation, and therefore the answer is A. It is not on the y axis because the parabola has a translation in the x direction (as represented by the x-3, which means it has been translated 3 units to the right).