Discriminant Exploration
Use the sliders for a, b, and c to discover the number of x-intercepts for the quadratic function.
2 points
Move the sliders until you get a curve that cuts the x-axis at 2 points. Find other curves with different values of a, b and c that cuts the x-axis at 2 points. What do you observe about their discriminant?
1 point
Move the sliders until you get a curve that touches the x-axis at 1 point. Find other curves with different values of a, b and c that cuts the x-axis at 1 point. What do you observe about their discriminant?
No points
Move the sliders until you get a curve that does not touch the x-axis at all. Find other curves with different values of a, b and c that does not touch the x-axis at all. What do you observe about their discriminant?