This graph looks like a trigonometric function. Which trigonometric function would be best to use for this model: cosine, sine,
or tangent? Why?
Type your response here:
a. It’s time to start making your model fit the path of the mass. Start with amplitude. What is the amplitude of the weight’s motion? How can you modify the base trigonometric function you identified in part b to fit this amplitude? Do this now.
Type your response here:
b. What is the period of the weight’s motion? How can you modify the trigonometric function you identified in part c to fit this period? Do this now.
Type your response here:
c. Check how your model looks compared with the mass by graphing your model with the Edmentum Graphing Tool. Looking at the graph, what is different between your model and the graph of the mass? What needs to change to make your model more accurate? Make this change to your model, and type in the new equation for your model.
Type your response here:
Type your response here:
a. It’s time to start making your model fit the path of the mass. Start with amplitude. What is the amplitude of the weight’s motion? How can you modify the base trigonometric function you identified in part b to fit this amplitude? Do this now.
Type your response here:
b. What is the period of the weight’s motion? How can you modify the trigonometric function you identified in part c to fit this period? Do this now.
Type your response here:
c. Check how your model looks compared with the mass by graphing your model with the Edmentum Graphing Tool. Looking at the graph, what is different between your model and the graph of the mass? What needs to change to make your model more accurate? Make this change to your model, and type in the new equation for your model.
Type your response here:
1 answer:
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Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
<h3>How to get the equation of the parabola?</h3>
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
