Friday, October 17, 2008

MYP Algebra 2 - Ch10 - Writing 1

p.600 #82
For an equation of the form y = ax^2, discuss what effect increasing |a| has on the focus and directrix.

3 comments:

Anonymous said...

when |a| is increased the focus of y=x^2 increases and the directrix deceases.

Anonymous said...

increasing the value of |a|, increases the value of "p", making the focus further away from the origin and makes the directrix further away from the origin.

Anonymous said...

The variable |a| is in direct relation to 4p, p being the focus of the equation. |a| = 4p, and y = |a|x^2. Increasing |a| is actually increasing 4p, the focus. The directix is affected because the directix is y = -p, and by increasing p, the focus, that puts the directix further away from the origin, or more negative.