CLICKING HERE WILL OPEN A WINDOW WITH THE QUADRATIC CURVE APPLET

The red line always passes through the two red points, while the yellow parabola always passes through the three yellow points. If you drag the mouse while holding either button down on a circle, that point will move and the corresponding curve will change accordingly. If you drag the mouse on a square, this will translate the corresponding curve. Such changes will also change the equation of the corresponding curve. Also in the lower left corner, the points of intersection between the line and parabola are provided. In the lower right corner, the coordinates of the colored squares and circles are provided. Clicking on "snap" will move the points to their nearest integer coordinates.