design your own reflector (or parabolic dish) for a television satellite. In order to do this,...

   

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design your own reflector (or parabolic dish) for a television satellite. In order to do this, you will need to decide the following schematics of your dish 1) What is the diameter of your dish? (use feet as your units) TIP: Choose an EVEN value for this diameter (the math will be much easier!) 2) What is the depth of your dish? (again use feet here for units) 3) Draw a sketch of your satellite dish on a coordinate plane and/or graph paper. Plot your vertex at the ORIGIN (this is important!). Label your diameter and depth on your graph. 4) You are going to use the equation of a vertical parabola to model your dish: Find the equation of your satellite dish parabola. HINT: The diameter and depth that you chose above will determine the x and y value you will plug into your formula. You can't plug in the origin for (x, y) - why not?? :) - so you need to pick another point that lies on your parabola! 5) Your receiver for your satellite will be placed at the focus. How far from the vertex (in feet) should your receiver be placed? (meaning: what is the value of p?) 6) Create a model of your satellite using the medium of your choice (draw, sketch, paint, build, mold it out of clay - your choice!) and include a picture of it at the end of your project. This application assignment is due by Friday at 11:59PM. Be sure to title your document: [Your Last Name - Unit 7 Application] and upload it below. ANALYZE: Satellite Dish Here is an image to help you visualize this application problem! teachtogether.chedk12.com (6,4.5) NOTE: There are MANY possible solutions here, because you were asked to choose your own depth and diameter :-) design your own reflector (or parabolic dish) for a television satellite. In order to do this, you will need to decide the following schematics of your dish 1) What is the diameter of your dish? (use feet as your units) TIP: Choose an EVEN value for this diameter (the math will be much easier!) 2) What is the depth of your dish? (again use feet here for units) 3) Draw a sketch of your satellite dish on a coordinate plane and/or graph paper. Plot your vertex at the ORIGIN (this is important!). Label your diameter and depth on your graph. 4) You are going to use the equation of a vertical parabola to model your dish: Find the equation of your satellite dish parabola. HINT: The diameter and depth that you chose above will determine the x and y value you will plug into your formula. You can't plug in the origin for (x, y) - why not?? :) - so you need to pick another point that lies on your parabola! 5) Your receiver for your satellite will be placed at the focus. How far from the vertex (in feet) should your receiver be placed? (meaning: what is the value of p?) 6) Create a model of your satellite using the medium of your choice (draw, sketch, paint, build, mold it out of clay - your choice!) and include a picture of it at the end of your project. This application assignment is due by Friday at 11:59PM. Be sure to title your document: [Your Last Name - Unit 7 Application] and upload it below. ANALYZE: Satellite Dish Here is an image to help you visualize this application problem! teachtogether.chedk12.com (6,4.5) NOTE: There are MANY possible solutions here, because you were asked to choose your own depth and diameter :-)