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.
This problem is asking you find
how the graph of this equation is changed by modifying the variables.
Solve/Investigate the Problem
My initial plan to solve this
problem is to plug in different numbers into the equation and see how the
graph is changed by using a graphing calculator. I will note the difference when some
of the numbers are changed and others are not. Taking note of these differences
will let me know what relation those numbers have on the graph.
of the Problem
We discovered that the larger the absolute value of
a, the narrower the parabola is.
Changing the b value changes where the parabola
starts. Depending on the
variable it will shift the vertex diagonally and horizontally.
Changing the c value will shift the vertex starting
point straight up or down.
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