Open the “Parabola Up_Down” interactive figure, which is available in the Video & Resource Library of MyLab Math (under Interactive Figures) or at bit.ly/3raFUGB.

(a) U se the sliders to set a to − 2; h to 0; k to 0. What are the coordinates of the vertex? What are the coordinates of the focus? What is the distance from the vertex to the focus?

(b) Does the parabola open up or down?

(c) Change a to 2, but leave h and k set to 0. What are the coordinates of the vertex? What are the coordinates of the focus? What is the distance from the vertex to the focus?

(d) Does the parabola open up or down?

(e) Leave a set to 2. Change h to 1 and k to 3. What is the distance from the vertex to the focus? What are the coordinates of the vertex? What is the equation of the parabola? What is the equation of the directrix?