Expression 42: "y" equals sine 1.9 left parenthesis, "x" minus 2.6 , right parenthesis plus 24 left brace, "x" greater than 18.8 6 , right brace left brace, "x" less than 20.8 5 , right bracey=sin1.9x−2.6+24x>18.86x<20.85
42
Expression 43: "y" equals sine 1.9 left parenthesis, "x" minus 7 , right parenthesis plus 24 left brace, "x" greater than 16.4 5 , right brace left brace, "x" less than 18.8 6 , right bracey=sin1.9x−7+24x>16.45x<18.86
43
These are used to create the hair on top of the koala. Sin is dilated by 1,9 and x is shifted 2.6 units to the right, then y is shifted 24 units upwards. X is limited to show no no less then 18.86 and no more then 20.85.
44
Expression 45: "f" left parenthesis, "x" , right parenthesis equals left parenthesis, StartFraction, 1 Over 1.5 , EndFraction "x" minus 14.3 7 , right parenthesis to the 6th power plus 6.4fx=11.5x−14.376+6.4
45
Expression 46: left parenthesis, "t" cos "a" minus "f" left parenthesis, "t" , right parenthesis sin "a" , "t" sin "a" plus "f" left parenthesis, "t" , right parenthesis cos "a" , right parenthesistcosa−ftsina,tsina+ftcosa
domain t Minimum: 19.5 619.56
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 23.5 823.58
46
Expression 47: "y" equals left parenthesis, StartFraction, 1 Over 1.5 , EndFraction "x" minus 14.3 7 , right parenthesis to the 6th power plus 6.4y=11.5x−14.376+6.4
47
Expression 48: "a" equals 6.1 6a=6.16
negative 10−10
1010
48
This parabola has x dilated by 1.5/1, shifted 14.37 units to the right, then y is shifted 6.4 units upwards. In this graph I dilated a by 6.16 and rotated the arm to match the picture.
49
50
Expression 51: "y" plus 12.4 3 equals left parenthesis, 2.2 "x" minus 434.2 , right parenthesis to the 7th power minus 22.4 5 left brace, 37.2 3 less than "x" less than 39.4 2 , right bracey+12.43=2.2x−434.27−22.4537.23<x<39.42
51
This Graph is shifted 12.43 units upwards, and x is being dilated by 2.2. X is then shifted 4.342 units to the right and translated 22.45 units upwards. This was used to give texture the the left leg on the koala.
52
Expression 53: "y" equals 0.2 5 left parenthesis, "x" negative 12 , right parenthesis positive 32 left brace, 13.9 less than "x" less than 16.2 , right bracey=0.25x−12+3213.9<x<16.2
53
Expression 54: "y" equals 0.2 5 left parenthesis, "x" negative 12 , right parenthesis positive 33.7 left brace, 13.7 less than "x" less than 16.2 , right bracey=0.25x−12+33.713.7<x<16.2
54
Expression 55: "y" equals 0.2 5 left parenthesis, "x" negative 12 , right parenthesis positive 30.7 left brace, 13.7 less than "x" less than 16.2 , right bracey=0.25x−12+30.713.7<x<16.2
55
Expression 56: "y" equals 0.2 5 left parenthesis, "x" negative 12 , right parenthesis positive 29 left brace, 13.9 less than "x" less than 16.2 , right bracey=0.25x−12+2913.9<x<16.2
56
Expression 57: "x" minus 18.2 equals negative StartAbsoluteValue, "y" minus 31.7 , EndAbsoluteValue negative 2 left brace, "x" greater than 14 , right brace left brace, "y" less than 31.8 , right bracex−18.2=−y−31.7−2x>14y<31.8
57
Expression 58: 0.1 7 "r" squared equals left parenthesis, "x" minus 22.8 , right parenthesis squared plus left parenthesis, "y" minus 15.5 , right parenthesis squared0.17r2=x−22.82+y−15.52
58
Expression 59: 0.4 9 "r" squared equals left parenthesis, "x" minus 33.6 , right parenthesis squared plus left parenthesis, "y" minus 14.5 , right parenthesis squared left brace, 34 less than "x" , right brace left brace, 12.4 less than "y" , right brace0.49r2=x−33.62+y−14.5234<x12.4<y
59
Expression 60: 1 equals StartFraction, left parenthesis, "x" minus 46.4 , right parenthesis squared Over 3 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 11. , right parenthesis squared Over 16 "d" squared , EndFraction1=x−46.423c2+y−11.216d2
60
Expression 61: 0.4 9 "r" squared equals left parenthesis, "x" minus 34.3 , right parenthesis squared plus left parenthesis, "y" minus 9.5 , right parenthesis squared left brace, 36.3 7 less than "x" , right brace left brace, 6.9 9 less than "y" , right brace0.49r2=x−34.32+y−9.5236.37<x6.99<y
61
Expression 62: 0.2 2 "r" squared equals left parenthesis, "x" minus 31.7 , right parenthesis squared plus left parenthesis, "y" minus 17.2 , right parenthesis squared left brace, 30 less than "x" , right brace left brace, 16.7 less than "y" , right brace0.22r2=x−31.72+y−17.2230<x16.7<y
62
Expression 63: 0.2 2 "r" squared equals left parenthesis, "x" minus 32.2 , right parenthesis squared plus left parenthesis, "y" minus 18.2 3 , right parenthesis squared left brace, "x" less than 34 , right brace left brace, "y" less than 18.9 , right brace0.22r2=x−32.22+y−18.232x<34y<18.9
63
Expression 64: 3 "r" squared equals left parenthesis, "x" minus 23.1 , right parenthesis squared plus left parenthesis, "y" minus 16.1 , right parenthesis squared left brace, 16.1 greater than "x" , right brace left brace, 21 greater than "y" , right brace3r2=x−23.12+y−16.1216.1>x21>y
64
Expression 65: "y" equals negative 0.7 7 left parenthesis, "x" minus 23 , right parenthesis positive 16.1 left brace, 15.2 less than "x" less than 16.0 3 , right bracey=−0.77x−23+16.115.2<x<16.03
65
Expression 66: "y" equals 4.4 left parenthesis, "x" minus 14.8 4 , right parenthesis positive 16.1 left brace, 21 less than "y" less than 23.2 , right bracey=4.4x−14.84+16.121<y<23.2
66
Expression 67: 13 equals StartFraction, left parenthesis, "x" minus 26 , right parenthesis squared Over 9 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 25. , right parenthesis squared Over 6 "d" squared , EndFraction left brace, 21.2 less than "y" , right brace left brace, 24 less than "x" , right brace13=x−2629c2+y−25.26d221.2<y24<x
67
Expression 68: "y" equals 3sine left parenthesis, StartFraction, 1 Over 1.3 , EndFraction "x" minus 4.3 , right parenthesis plus 26 left brace, 20.9 less than "x" less than 24 , right bracey=3sin11.3x−4.3+2620.9<x<24
68
Expression 69: 0.4 9 "r" squared equals left parenthesis, "x" minus 35.3 , right parenthesis squared plus left parenthesis, "y" minus 5.8 , right parenthesis squared left brace, 37.6 less than "x" , right brace left brace, 5 less than "y" , right brace0.49r2=x−35.32+y−5.8237.6<x5<y
69
Expression 70: 0.5 4 "r" squared equals left parenthesis, "x" minus 36.6 , right parenthesis squared plus left parenthesis, "y" minus 8 , right parenthesis squared left brace, 8.8 6 greater than "y" , right brace left brace, 38.6 9 greater than "x" , right brace0.54r2=x−36.62+y−828.86>y38.69>x
70
Expression 71: 120 equals StartFraction, left parenthesis, "x" minus 30.4 , right parenthesis squared Over 6 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 10.8 , right parenthesis squared Over 1 "d" squared , EndFraction left brace, 24.3 less than "x" less than 33.9 , right brace left brace, "y" less than 10 , right brace120=x−30.426c2+y−10.821d224.3<x<33.9y<10
71
Expression 72: 120 equals StartFraction, left parenthesis, "x" minus 34.4 , right parenthesis squared Over 6 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 11.4 , right parenthesis squared Over 1 "d" squared , EndFraction left brace, 38.8 less than "x" less than 46.5 , right brace left brace, "y" less than 13.4 , right brace120=x−34.426c2+y−11.421d238.8<x<46.5y<13.4
72
Expression 73: 120 equals StartFraction, left parenthesis, "x" minus 34.4 , right parenthesis squared Over 6 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 15.4 , right parenthesis squared Over 1 "d" squared , EndFraction left brace, 37.8 less than "x" less than 45.8 , right brace left brace, "y" less than 13.4 , right brace120=x−34.426c2+y−15.421d237.8<x<45.8y<13.4
73
Expression 74: 2 equals StartFraction, left parenthesis, "x" minus 8. , right parenthesis squared Over 3 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 12. , right parenthesis squared Over 16 "d" squared , EndFraction left brace, 7.1 5 less than "x" less than 8.4 , right brace left brace, "y" greater than 11 , right brace2=x−8.23c2+y−12.216d27.15<x<8.4y>11
74
Expression 75: 200 equals StartFraction, left parenthesis, "x" minus 25.2 5 , right parenthesis squared Over 6 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 16.3 , right parenthesis squared Over 1 "d" squared , EndFraction left brace, 8.4 less than "x" less than 20.9 , right brace left brace, "y" less than 15 , right brace200=x−25.2526c2+y−16.321d28.4<x<20.9y<15
75
Expression 76: 0.2 2 "r" squared equals left parenthesis, "x" minus 35 , right parenthesis squared plus left parenthesis, "y" minus 10.4 4 , right parenthesis squared left brace, 11.9 8 8 less than "y" , right brace left brace, 34.6 less than "x" , right brace0.22r2=x−352+y−10.44211.988<y34.6<x
76
Expression 77: 120 equals StartFraction, left parenthesis, "x" minus 16.5 , right parenthesis squared Over 6 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 19 , right parenthesis squared Over 1 "d" squared , EndFraction left brace, 21.0 6 3 less than "x" , right brace left brace, 18.8 9 1 less than "y" , right brace120=x−16.526c2+y−1921d221.063<x18.891<y
77
Expression 78: 120 equals StartFraction, left parenthesis, "x" minus 20.5 , right parenthesis squared Over 3 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 17 , right parenthesis squared Over 1.8 "d" squared , EndFraction left brace, 20.5 less than "x" , right brace left brace, 17.5 2 8 greater than "y" , right brace120=x−20.523c2+y−1721.8d220.5<x17.528>y
78
Expression 79: 1 equals StartFraction, left parenthesis, "x" minus 38.3 , right parenthesis squared Over 3 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 12 , right parenthesis squared Over 16 "d" squared , EndFraction left brace, 13.0 1 greater than "y" greater than 11.2 5 1 , right brace left brace, 38 less than "x" , right brace1=x−38.323c2+y−12216d213.01>y>11.25138<x
79
Expression 80: 1 equals StartFraction, left parenthesis, "x" minus 39 , right parenthesis squared Over 3 "c" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 9.3 , right parenthesis squared Over 16 "d" squared , EndFraction left brace, 39.1 0 9 less than "x" less than 39.7 3 1 , right brace left brace, 9 less than "y" , right brace1=x−3923c2+y−9.3216d239.109<x<39.7319<y