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