Parabola Portfolio

INVESTIGATION:
STEP 1
Given Parabola: y=x^2-6x+11
see lines:
y= 2x
y=x

Points of intersection
X1= 1.764 X3= 4.62
X2= 2.382 X4= 6.236

SL=X2-X1= 0.618
SR= X4- X3= 1.616

D= Abs(SL-SR)
Abs(-0.998)=1

STEP 2
1.Y=x^2-6x+11
meet Lines:
Y=x
Y=2x

A=1
X1=1.764 X3= 4.62
X2=2.382 X4=6.236

SL= X2- X1=0.618

SR= X4- X3=1.616

D= Abs(SL-SR)
=Abs(-0.998)
=1

2. .Y=2x^2-6x+4
Intersecting lines:
y=x
y=2x

A=2
Points of Intersection
X1=0.586 X3=4.62
X2=0.72 X4=3.414

SL=X2- X1=0.134
SR= X4-X3=0.633

D= Abs(SL-SR)
=Abs(-0.499)
= 0.5
3 . Y=0.5x^2-6x+16
Intersecting lines
Y=x
Y=2x

A=0.5
Points of Intersectoin
X1=2.



343 X3= 11.12
X2= 2.877 X4= 13.657

SL=X2-X1=0.534
SR=X4-X3=2.537

D=Abs(SL-SR)
D= Abs(-2.003)
D=2

4. Y= 0.25x2-2x+8
Intersecting lines
Y=x
Y=2x

A=0.25
Points of intersection
X1=2.343 X3=8
X2=4 X4=13.657
SL=X2-X1=1.657
SR=X4-X3=5.657

D= Abs(SL-SR)
D=Abs(-4)
D=4
Hence Conjecture:
D= 1a
remit OF RESULTS
y=ax2+bx+c| Line1| Line2| A| D|
1. Y=x^2-6x+11| Y=x| Y=2x| 1| 1|
2. Y=2x^2-6x+4| Y=x| Y=2x| 2| 0.5|
3.Y=0.5x^2-6x+16| Y=x| Y=2x| 0.5| 2|
4. Y= 0.25x2-2x+8| Y=x| Y=2x| 0.25| 4|

conjecture:
D=1a

TESTS FOR VALIDITY
1. Y=3x2-6x+2
Intersecting Lines
Y=...If you want to expire a full essay, order it on our website: Ordercustompaper.com



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