Activity 1: Parabolas

Notice and Wonder
Record what you notice or wonder:
Task 2:
How do the focus and directrix influence the shape of the parabola? What happens to the width?[br][br][br][br]
 Is there a way to change the orientation of the parabola?[br][br][br]
If the distance from a point on the parabola to the directrix is 5, what is the distance from that point to the focus? [br][br][br][br]
What if the distance to the directrix is 12? What if it’s some number n? Explain your reasoning.[br][br][br]
Based on what you’ve explored with the focus, directrix, and the points on the parabola, how would you describe or define a parabola?[br][br][br][br]
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Information: Activity 1: Parabolas