1. Make focus at (3,-2) and equation for directrix y=7. Then click “Animate On”. [br]What shape does the trace make? [br]Review: What role does the directrix play?[br]Review: What role does the focus play?[br]Write an equation of the line or curve the trace makes. (Hint: Use equation y=a(x-h)2+k, where (h,k) is the vertex.)[br]Make a conjecture about how the Focus and Directrix affect the equation of a parabola. [br][br][br]2. Make focus at (0,0) and equation for directrix y=2. Then click “Animate On”. [br][br][br]Write an equation of the line or curve the trace makes. (Hint: Use equation y=a(x-h)2+k, where (h,k) is the vertex.)[br]Make a conjecture about how the Focus and Directrix affect the equation of a parabola. [br][br][br]3. Make focus at (-4,4) and equation for directrix y=0. Then click “Animate On”. [br][br][br]Write an equation of the line or curve the trace makes. (Hint: Use equation y=a(x-h)2+k, where (h,k) is the vertex.)[br]Make a conjecture about how the Focus and Directrix affect the equation of a parabola. [br][br][br]4. Share with your neighbor about your findings and conjecture.