Expression 53: "r" squared equals "x" squared plus "y" squaredr2=x2+y2
53
Expression 54: 0.9 3 squared equals left parenthesis, "x" minus 14.7 , right parenthesis squared plus left parenthesis, "y" minus 8.4 , right parenthesis squared0.932=x−14.72+y−8.42
54
Expression 55: 0.2 8 equals left parenthesis, "x" minus 14.7 , right parenthesis squared plus left parenthesis, "y" minus 8.3 4 , right parenthesis squared0.28=x−14.72+y−8.342
55
Expression 56: 2.0 5 equals left parenthesis, "x" minus 15.4 , right parenthesis squared plus left parenthesis, "y" minus 11.5 , right parenthesis squared2.05=x−15.42+y−11.52
56
Expression 57: 1.2 4 equals left parenthesis, "x" minus 7.6 5 , right parenthesis squared plus left parenthesis, "y" minus 11.1 9 , right parenthesis squared1.24=x−7.652+y−11.192
57
This equation represents a circle centered at the point (7.65,11.19) with a radius of 1.24.
58
Expression 59: 3 "k" squared equals StartFraction, left parenthesis, "x" minus 8.9 , right parenthesis to the 1st power Over 0.1 1 9 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 11.8 , right parenthesis squared Over 0.2 8 squared , EndFraction left brace, 7.7 less than "y" less than 15.1 , right brace3k2=x−8.910.1192+y−11.820.2827.7<y<15.1
59
Expression 60: 3 "k" squared equals StartFraction, left parenthesis, "x" minus 9.6 5 , right parenthesis to the 1st power Over 0.1 1 9 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 11.5 , right parenthesis squared Over 0.1 "j" to the 1st power , EndFraction left brace, 11.4 less than "y" less than 15.1 , right brace3k2=x−9.6510.1192+y−11.520.1j111.4<y<15.1
60
Expression 61: 3 "k" squared equals StartFraction, left parenthesis, "x" minus 9.6 5 , right parenthesis to the 1st power Over 0.1 8 8 "l" squared , EndFraction plus StartFraction, left parenthesis, "y" minus 12.3 , right parenthesis squared Over 0.2 9 "j" to the 1st power , EndFraction left brace, 9 less than "y" less than 11.4 , right brace3k2=x−9.6510.188l2+y−12.320.29j19<y<11.4
61
Expression 62: 3 squared equals StartFraction, left parenthesis, "x" minus 9.6 9 , right parenthesis to the 1st power Over 0.2 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 11.5 4 , right parenthesis squared Over 0.1 9 to the 1st power , EndFraction left brace, 6.9 less than "y" less than 8.9 8 , right brace32=x−9.6910.22+y−11.5420.1916.9<y<8.98
62
Expression 63: 0.4 "r" squared equals 2.5 left parenthesis, "x" minus 6.3 , right parenthesis squared plus 0.8 left parenthesis, "y" minus 14.3 , right parenthesis squared0.4r2=2.5x−6.32+0.8y−14.32
63
Expression 64: 0.4 "r" squared equals 2.5 left parenthesis, "x" minus 6.3 , right parenthesis squared plus 0.8 left parenthesis, "y" minus 13.1 , right parenthesis squared0.4r2=2.5x−6.32+0.8y−13.12
64
Expression 65: 0.3 5 "r" squared equals 2. left parenthesis, "x" minus 5.5 , right parenthesis squared plus 1 left parenthesis, "y" minus 12.9 , right parenthesis squared0.35r2=2.x−5.52+1y−12.92
65
Expression 66: 0.4 "r" squared equals 2.5 left parenthesis, "x" minus 8 , right parenthesis squared plus 3. left parenthesis, "y" minus 12.6 8 , right parenthesis squared0.4r2=2.5x−82+3.y−12.682
66
Expression 67: 0.4 "r" squared equals 2.5 left parenthesis, "x" minus 4 , right parenthesis squared plus 3. left parenthesis, "y" minus 12.4 , right parenthesis squared0.4r2=2.5x−42+3.y−12.42
67
Expression 68: 1.7 "r" squared equals 2.5 left parenthesis, "x" minus 6 , right parenthesis squared plus 11 left parenthesis, "y" minus 12 , right parenthesis squared1.7r2=2.5x−62+11y−122
68
Expression 69: 1.8 "r" squared equals 3.5 left parenthesis, "x" minus 5.1 , right parenthesis squared plus 10 left parenthesis, "y" minus 13.7 , right parenthesis squared1.8r2=3.5x−5.12+10y−13.72
69
Expression 70: "r" equals 1r=1
70
Expression 71: "l" equals negative 0.5l=−0.5
71
Expression 72: "j" equals 1.6j=1.6
72
Expression 73: "k" equals negative 0.9k=−0.9
73
74
Expression 75: 1 equals StartFraction, "x" squared Over "c" squared , EndFraction plus StartFraction, "y" squared Over "d" squared , EndFraction1=x2c2+y2d2
75
76
Expression 77: "y" equals sine "x"y=sinx
77
Expression 78: "y" equals 15sine 13 "x" left brace, 1 less than "x" less than 3 , right brace left brace, 7 less than "y" less than 15 , right bracey=15sin13x1<x<37<y<15
78
Expression 79: "y" equals 15sine 13 "x" left brace, 7 less than "x" less than 8. , right brace left brace, 10.6 less than "y" less than 10.9 , right bracey=15sin13x7<x<8.10.6<y<10.9
79
The coefficent 15, to the sine function affects the amplitude, stretching the graph vertically making the maximum value 15 and minimum value -15. The coefficent to x, 13, affects the period of the graph. And there is no shift in the graph.
80
Expression 81: "y" equals "x" to the 6th powery=x6
81
Expression 82: "y" equals left parenthesis, 1.2 "x" minus 22.6 5 , right parenthesis to the 6th power plus 3.9 4 left brace, 2 less than "y" less than 4.6 , right bracey=1.2x−22.656+3.942<y<4.6
82
Expression 83: "y" equals negative left parenthesis, 1.2 "x" minus 22.5 8 , right parenthesis to the 6th power plus 6.8 4 left brace, 6.2 less than "y" less than 7 , right bracey=−1.2x−22.586+6.846.2<y<7
83
Expression 84: "y" equals left parenthesis, 1.2 "x" minus 22.3 5 , right parenthesis to the 6th power plus 6.9 left brace, 6.2 less than "y" less than 7.7 , right bracey=1.2x−22.356+6.96.2<y<7.7
84
Expression 85: "y" equals negative left parenthesis, 1.2 "x" minus 22.2 5 , right parenthesis to the 6th power plus 9.9 5 left brace, 9.2 less than "y" less than 13 , right bracey=−1.2x−22.256+9.959.2<y<13
85
Expression 86: "y" equals left parenthesis, 1.9 "x" minus 32.9 5 , right parenthesis to the 6th power plus 1.4 4 left brace, 1 less than "y" less than 2 , right bracey=1.9x−32.956+1.441<y<2
86
Expression 87: "y" equals negative left parenthesis, 1.9 "x" minus 32.9 5 , right parenthesis to the 6th power plus 2.8 left brace, 2. less than "y" less than 3 , right bracey=−1.9x−32.956+2.82.<y<3
87
There is a horizontal compression of1/1.9 making the graph wider. -32.95 is horizontal shift to the left.The negatvie sign before brackets results in a vertical relfection. Thepower of 6 compresses the entire graph.
88
Expression 89: "f" left parenthesis, "x" , right parenthesis equals left parenthesis, 0.7 "x" minus 5 , right parenthesis to the 6th power plus 1fx=0.7x−56+1
89
Expression 90: "A" equals 219.2A=219.2
90
Expression 91: "y" equals "s" left parenthesis, "x" , "y" , right parenthesisy=sx,y
91
Expression 92: "g" left parenthesis, "x" , "y" , right parenthesis equals StartFraction, "f" left parenthesis, "x" cos left parenthesis, "A" , right parenthesis minus "y" sin left parenthesis, "A" , right parenthesis "x" sin left parenthesis, "A" , right parenthesis , right parenthesis Over cos left parenthesis, "A" , right parenthesis , EndFractiongx,y=fxcosA−ysinAxsinAcosA
92
Expression 93: "y" equals "g" left parenthesis, "x" , "y" , right parenthesisy=gx,y
93
Attempt at rotation.
94
Expression 95: "y" equals "x" to the 7th powery=x7
95
Expression 96: "y" equals StartFraction, 2 "x" to the 7th power plus 10 Over "q" 5000 squared , EndFraction minus 2 left brace, 14.2 9 less than "x" less than 14.7 , right bracey=2x7+10q50002−214.29<x<14.7
96
Because this function produces a 7th degree polynomial , which varys in shape depending on the coefficient, the 2x^7 determines what that shape is.The denominator 5000^2 puts the function vertically at 1/5000^2 making it close to 0. This compresses the graph vertically.
