Question

WILL FAN AND GIVE MEDALS!


A parabola can be translated so does not have to have its vertex at the origin or on an axis. (Remember that a translation moves or maps every point the same distance and direction.)

The equation for a parabola with directrix y = k – p and focus (h, k + p) is:

y = 1/4p(x-h)^2+k

The value of k changes the placement of the parabola. Assume that p > 0. There are 3 cases to consider:

1. k > 0
2. k = 0
3. k < 0


1. In k>0, k=0, and k<0 what is the location of the parabola and number of zeros.

Answer 1

@mr.singh