In week 8 of pre-cal 11, we learned how to graph quadratic equations with the general form and the standard form.
a
+bx+c, is the general form of the equation, with this form the equation we can find limited information comes to graphing; we can determine the direction and the compression ratio of the graph from a, and y-intercept from c.
But we can easily change this equation to standard form by completing the square; 
from this form of the equation we can determine the position of the vertex with q being the y-axis(+ going up,- going down), p being the x-axis(- going right, +going left) and the direction of opening and the compression ratio of the graph by looking at a,( the ratio of the graph will be congruent to a=y, a determines the direction of the graph( if negative a, facing down, if postive a opens up).
on