Strobe Light Parabola Project
Published on Nov 21, 2015
No Description
MORE DECKS TO EXPLORE
PRESENTATION OUTLINE
STROBE LIGHT PARABOLA PROJECT
BY MERANIE M. AND TIM L.
BACKGROUND
- We wanted to investigate our parabola's equations. So we placed the parabola in 3 different places. So we wanted to see if the parabola was placed in different places, would the equation stay the same or will the equation change.
Untitled Slide
- The Three Parabolas
Untitled Slide
- Blue Parabola
BLUE PARABOLA EQUATION
- -0.2082x^2+-0.4304+2.8290
- 0.4304 + or - the square root of 0.4304-4(-0.2082)(2.8290) divided by 2(-0.2082)
- Answers: x= -7.7253 or x=5.6580
Untitled Slide
- Red Parabola
RED PARABOLA EQUARION
- -0.2082x^2+-0.4304+2.8290
- 0.4304 + or - the square root of 0.4304-4(-0.2082)(2.8290) divided by 2(-0.2082)
- Answers: x= -7.7253 or x=5.6580
Untitled Slide
- Green Parabola
GREEN PARABOLA PLOTS
- Center: -12,5
- Plots: -18.15,2.6
- -17.05,4.55
- -16.1,6.1
- -15.075,7.25
- -14,7.9
- -12.95,8.1
- -11.875,7.8
- -10.9,7.05
- -8.775,4.275
GREEN PARABOLA EQUATION
- -0.2105x^2+-5.490x+-27.69
- 5.490+ or - the square root of 5.490-4(-0.2105)(27.69) over 2(-0.2105)
- Answers are: x=29.299 or x= -55.38
CONCLUSION
- From our equations, our conclusion is that the placement of the parabola can change the equation. That even though they were all the same shape, the equation for one parabola did change. Although this was not true for the red and blue parabolas, the green had a different equation than the other two parabolas. But all three parabolas did have a different equation then a parabola with a vertex of (0,0). So if you go by this, then a parabola placement does change its equation. But there are instances where there are parabolas with the same equation.
HOW CAN OUR PROJECT APPLY TO THE CLASSROOM
- So this means that shape doesn't matter in a parabola equation. Just because they are the same parabola, but in different places, doesn't mean that they have the same equation. So you really do have to find the equation for each parabola. Because as our project showed, there are instances where the parabola can have a different equation.
