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Angry Birds: " The parabola edition"
857
Angry Birds: " The parabola edition"
Blue bird
Red bird
Red bird
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Yellow bird
Blue bird
maximum height: 28 yards
x 6 7 8 9 10 11 12 13 14 15 16 17 18
y 0 24 33 40 45 48 49 48 45 40 33 24 0
axis of Symmetry: 21 yards
maximum height: 36 yards
maximum height: unknown
distance traveled: 12 yards
distance traveled: 34 yards
distance traveled: 18 yards
Maximum height: 49 yards
axis of symmetry ( x=10)
quadratic equation: y=-x^2+20x-64
quadratic function: unknown
quadratic equation: y=(-28/289)x^2+1177/289x-4256/289
total distance : 12 yards
vertex:(10,36)
axis of symmetry: x=12
y =-0^2+20(0)-64
(13,27)
this cannot be solved because we are only given two points [(0,0);(18,0)].
y=-49/36(x-6)(x-18)
=0+0-64
Axis of Symmetry: (9,0)
vertex: (12,49)
50
y=-4^2+20(4)-64
0
-64
=-16+80-64
4
we would need a third point to solve for a in the intercept form:
(17,24)
0
y=-10^2+20(10)-64
quadratic function:
10
intercept form: y=a(x-6)(x-18)
36
=-100+200-64
y=a(x-0)(x-18)
25
16
using point (12,49)
y=-16^2+20(16)-64
0
=-256+320-64
49=a(12-6)(12-18)
13
27
y=-13^2+20(20)-64
49=a(6)(-6)
=-169+260-64
end
start
49=a(-36)
this quadratic function does not match up with the data
0 9 18
a= -49/36
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( 13,27 )
( 17, 24 )
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