#$&*
course Mth 173
10/12 9
HET SIMULATION 1The simulation at
http://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.
Modeling project 1 is a flow model, and the graph represents decreasing depth vs. time. The data collected is best represented by a quadratic equation, and the simulation allows us to modify the a, b, and c coefficients and visualize the changes they make to the function. When varying the a paramater, we are changing how wide or narrow the parabola is.
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.
When changing the b parameter, we are changing the orientation of the parabola around line going through the origin. This can move the graph both left and right, and up and down.
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?
By increasing the b parameter, the graph moves left, but it moves around the origin, so it goes up when b is less than 0, and goes down when b is greater than 0.
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?
Because b moves the graph both up and down depending on its value, it is difficult to intuitively predict the values of a, b, and c.
Give your best responses, copy them into a Submit Work Form and submit.
"
@&
Very good.
*@