Coefficients that Affect the Graph
Explain how the graph of
the function h(x) = ax2 + bx + c
changes when you modify a, b, and c.
Using a graphing calculator
examine the effects of changing the coefficient to see how the graph
Solve/Investigate the Problem
Input different values for a, b, c. Graph
quadratic equation using calculator.
Try to keep the x fixed
and evaluate the change in y.
of the Problem
*For a as the coefficient gets bigger the y value gets bigger. (parabola opens)
As the absolute value of a increases,
the value of y increases.
As the absolute value of a decreases,
the value of y decreases.
If the coefficient of a is positive,
the parabola will open upward.
If the coefficient of a is negative,
the parabola will open downward.
*For b, if the coefficient is negative, the parabola will translate
(slide) right. If the
coefficient is positive, the parabola will translate left.
*For c, a change will create a translation.
Author & Contact
Link(s) to resources, references, lesson plans, and/or other