Parábolas

Observe the following parables, move them as indicated, and answer the questions.

Look at the equation for the purple parabola and the green parabola, and tell what difference you can tell between the two equations.

1. Where does the purple parable open? 2. Where does the green parable open? 3. From these differences, what can you say about the equation and its corresponding parabola?

Look at the orange and green parables and tell what the difference is between them.
Now tell the differences between your equations.
Move the orange parabola until its directrix is X = 4

1. At what point was the focus of the orange parabola located? 2. What is the distance from the directrix to the vertex of the parabola? 3. What is the distance from the vertex to the focus of the parabola? 4. Is it the same distance?

Move the green parabola until its directrix is Y = 0

1. At what point was the focus of the green parabola located? 2. What is the distance from the directrix to the vertex of the parabola? 3. What is the distance from the vertex to the focus of the parabola? 4. Is it the same distance? Shoot capture and send with your answers. After moving these two parables, and seeing their focuses and guidelines, what can you conclude?

Parábolas

Observe the following parables, move them as indicated, and answer the questions.

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