Coefficients of a Quadratic Equation
Use the sliders to explore how each coefficient in a quadratic equation affects the vertex, then click on the button next to the slider to verify the traced effect.
1. Find the equation, in terms of b,c, and x, that shows how a affects the vertex of a quadratic equation.
2. Find the equation, in terms of a, c and x, that shows how b affects the vertex of a quadratic equation.
3. Find the equation, in terms of b and a, that shows how c affects the vertex of a quadratic equation.
4. Move the sliders to find the quadratic equation that matches the general shape of the arch.