Parabola Project

# Parabola Project

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## Parabola Project

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1. Calli Joy Morrow and Jasmine Alvarado Parabola Project

3. Graph A= (-67.4,0) B=(75,0) C=(-45,120) D=(-35.5,109) E=(0,180)

4. E= 180=a(0)^2+b(0)+c= 180=c A=a(-67.4)^2-67.4+c 4542.8a-67.4b+c 0=a(75)^2+75b+c 0= 5625a+75b+c Math

5. -180=4542.8a-67.4b)75 -180=5625a+75b)67.4 -13500=340710a-5055b -12132=379125a+5055b -25632=719835a -0.0356=a Substitution: c=180

6. -180= 5625(-0.0356)+75b -180=-2002959+75b 20.2959=75b .2706=b F(x)=-.0356x^2=.2706x+180 Substitution: a=-0.0356

7. F(x)=a(x-h)^2+k F(x)=-.0356(x-h)+k F(x)=-.0356x^2+.2706x+180 F(x)=-.0356(x^2+.2706x+14.44)+180+.514 F(x)+-.0356(x-3.8)^2+ 180.514 Vertex Form

8. Vertical Compression Reflected across the x axis Right 3.8, Up 180.514 Transformation

9. If a rocket ship launches from point A, what will be its highest point, point E, and where will it land B. If Calli throws the dog toy and it bounces once, point A, goes up, Point E, and then lands point B. Real life Situation