# ACCESS - Parabola Equation

Author:
Accesscd
Topic:
Parabola
This interactive graphs the parabolas of (x-h)²=4p(y-k), which has an x² term and 4p(x-h)=(y-k)², which has a y² term. Use the sliders to adjust the values of h, k, and p and use the checkboxes to show or hide the graphs. Select Show/hide x² term parabola with equation(x-h)²=4p(y-k) only. 1. How does the red (x² term) parabola change when h gets smaller? Larger? 2. How does the red (x² term) parabola change when k gets smaller? Larger? 3. How does the red (x² term) parabola change when p gets smaller? Larger? 4. Describe what happens to each parabola when p is negative? When p is positive? 5. How does p affect the focus point? Select Show/hide y² term parabola with equation 4p(x-h)=(y-k)² only. 6. How does the blue (y² term) parabola change when h gets smaller? Larger? 7. How does the blue (y² term) parabola change when k gets smaller? Larger? 8. How does the blue (y² term) parabola change when p gets smaller? Larger? 9. Describe what happens to each parabola when p is negative. When p is positive? 10 How does p affect the focus point?