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?