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course MTH 173
0042 02FEB2013
The simulation athttp://phet.colorado.edu/sims/equation-grapher/equation-grapher_en.html
allows you to vary the parameters of a quadratic function and see how the graph changes as a result. You can use sliders to vary a, b and c, or you can enter numbers.
Investigate what happens when you vary the a parameter, and give a brief description of what you see and how it is related to what you are learning in Modeling Project 1.
The a parameter takes the x axis and forms a parabola, either upward or downward pointing depending on the positive or negative value of “a”. This changes the rate of decrease in the water model project.
Now see what happens when you vary the b parameter, and once more give a brief description and see if you can relate it to what you have done in Modeling Project 1.
The b parameter slider moves the parabola around the origin of the graph.
If you increase the b parameter, does the graph move to the right or the left? Does it move up or down? Does either answer depend on the value of the a parameter?
Decreasing “b” moves the parabola to the right and down causing the origin to slide to the left along the line of the parabola. Increasing “b” does the opposite.
If you want to move the vertex to a specific point, can you figure out in advance how much to change the b and c parameters, or are there confounding factors that confuse the process?
It can be figured into the b and c parameters.
Give your best responses, copy th
&#Your work looks very good. Let me know if you have any questions. &#