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.
Solve/Investigate the Problem
I plan to use a graphing
calculator to investigate the problem.
of the Problem
Choosing values for a:
As the value of “a” increases (choosing positive values for a) the
graph of the parabola narrows more quickly because the y values increase at
a faster rate. Choosing negative values for “a” will reflect
the parabola over the x axis.
Choosing values for b:
As the value of “b”
increases the graph of the parabola shifts to the left. If the value of “b” is
negative the graph will shift right. The line of symmetry is no longer the
y axis. The vertex also shifts downward.
Choosing values for c:
As the value of “c”
changes, the vertex of the parabola shifts up or down. If “c” is a positive value
the graph shifts upward and if “c” is a negative value the graph
shifts downward. “C” is the y-intercept. It is where the graph
crosses the y axis.
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