Parabolas+in+Real+World+Instructions

There is a link to the instructional video on Making a Parabola of best fit using Autograph on Ms Dickson and Ms Gravel's Website:

** Wiki Assignment #2: Parabolas in the Real World ** You will be using a photograph of a parabola from the internet or one you took yourself and Autograph to do a quadratic regression. **Part 1: Do a quadratic Regression.** The full instruction video on doing a regression is posted on our course wiki and the basic steps are below: 1. Insert an image 2. Make it transparent so you can see the axis 3. Put points on your Parabola 4. Do a quadratic regression ** Part 2: Analyze your Parabola. ** 1. Write the equation of best fit of your parabola below (you may round to 2 decimals): **Note:** This is called the standard form of a Parabola. We will be working with this type of equation after Christmas.

Equation (Standard Form):

2. Estimate the vertex of the parabola of best fit.

3. Use a point on the parabola and your vertex to find the stretch:

4. Write the estimated equation of your Parabola in the form (vertex form)

5. Graph this equation on Autograph (it will appear in a different colour). ** Part 3: Communication. ** 1. Post your Autograph Screen on our course Wiki using the snipping tool. The image file name must be unique so use your name (i.e. sarahdicksonparabola). Each page of the Wiki has room for 2 students – please talk to your partner to avoid editing at the same time and put your name with your graph.

2. With your graph write a short paragraph describing the parabola of best fit. Include the following in your description: - Properties: Direction of opening, line of symmetry, Domain, Range, estimated vertex - Something about the image (where it is from, a cool fact, etc) - How close was your estimated parabola to the one Autograph calculated and what part of your estimation could have been better?