parabola project

PARABOLA PROJECT

Calli Joy Morrow andJasmine Alvarado

VIDEO HTTP://WWW.YOUTUBE.COM/WATCH?V=GFBL3FC2T-W

GRAPH

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

MATH

E= 180=a(0)^2+b(0)+c= 180=c

A=a(-67.4)^2-67.4+c 4542.8a-

67.4b+c0=a(75)^2+75b+c

0= 5625a+75b+c

SUBSTITUTION: C=180

-180=4542.8a-67.4b)75 -180=5625a+75b)67.4

-13500=340710a-5055b -12132=379125a+5055b -25632=719835a -0.0356=a

SUBSTITUTION: A=-0.0356

-180= 5625(-0.0356)+75b -180=-2002959+75b 20.2959=75b .2706=b

F(x)=-.0356x^2=.2706x+180

VERTEX FORM 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)+1

80+.514 F(x)+-.0356(x-3.8)^2+ 180.514

TRANSFORMATION

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

REAL LIFE SITUATION

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.