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Graph of a Quadratic Equation: y = Ax² + Bx + C

Drag the "set A", "set B", & "set C" dots to change the parabola.

Drag the dot labeled “x” to trace the parabola.

Questions

1. Adjust C. How does the value for C affect the graph?

2. First set B to 0 & then adjust A. How does the value for A affect the graph?

3. What determines whether the parabola is concave up or down (u-shaped or upside down u)?

4. Can you make a parabola that does not have x-intercepts?

5. Make a concave down parabola x-intercepts of -2 & 5. Write the equation for the parabola.

6. Your height at time t is given by h = t^2 - 2t. Graph the height funcion and estimate when the height will be 7? Estimate the solutions to 5 = x^2 - 2x using your graph.

7. Make a parabola with a range of y > 2. Write the equation for the parabola.