Question : Graph the equation by plotting points 61) x = y^2 : 2162335
Graph the equation by plotting points.
61) x = y2
A)
B)
C)
D)
62) y = √x
A)
B)
C)
D)
63) y = (1/x)
A)
B)
C)
D)
Write the standard form of the equation of the circle.
64)
A) (x + 5)2 + (y + 6)2 = 3
B) (x + 5)2 + (y + 6)2 = 9
C) (x - 5)2 + (y - 6)2 = 3
D) (x - 5)2 + (y - 6)2 = 9
65)
A) (x - 4)2 + (y - 3)2 = 25
B) (x + 4)2 + (y + 3)2 = 25
C) (x - 3)2 + (y - 4)2 = 25
D) (x + 3)2 + (y + 4)2 = 25
Write the standard form of the equation of the circle with radius r and center (h, k).
66) r = 3; (h, k) = (0, 0)
A) x2 + y2 = 3
B) (x - 3)2 + (y - 3)2 = 9
C) (x - 3)2 + (y - 3)2 = 3
D) x2 + y2 = 9
67) r = 2; (h, k) = (4, -1)
A) (x + 4)2 + (y - 1)2 = 2
B) (x + 4)2 + (y - 1)2 = 4
C) (x - 4)2 + (y + 1)2 = 2
D) (x - 4)2 + (y + 1)2 = 4
68) r = 10; (h, k) = (-8, 0)
A) x2 + (y + 8)2 = 10
B) (x - 8)2 + y2 = 100
C) x2 + (y - 8)2 = 10
D) (x + 8)2 + y2 = 100
69) r = 11; (h, k) = (0, 6)
A) x2 + (y + 6)2 = 11
B) (x - 6)2 + y2 = 121
C) (x + 6)2 + y2 = 121
D) x2 + (y - 6)2 = 121
70) r = √(13); (h, k) = (5, -6)
A) (x - 5)2 + (y + 6)2 = 13
B) (x + 5)2 + (y - 6)2 = 13
C) (x - 6)2 + (y + 5)2 = 169
D) (x + 6)2 + (y - 5)2 = 169
71) r = √(14); (h, k) = (0, 1)
A) x2 + (y - 1)2 = 14
B) (x - 1)2 + y2 = 196
C) x2 + (y + 1)2 = 14
D) (x + 1)2 + y2 = 196
Solve the problem.
72) Find the equation of a circle in standard form where C(6, -2) and D(-4, 4) are endpoints of a diameter.
A) (x - 1)2 + (y - 1)2 = 136
B) (x + 1)2 + (y + 1)2 = 34
C) (x - 1)2 + (y - 1)2 = 34
D) (x + 1)2 + (y + 1)2 = 136
73) Find the equation of a circle in standard form with center at the point (-3, 2) and tangent to the line y = 4.
A) (x - 3)2 + (y + 2)2 = 16
B) (x + 3)2 + (y - 2)2 = 4
C) (x - 3)2 + (y + 2)2 = 4
D) (x + 3)2 + (y - 2)2 = 16
74) Find the equation of a circle in standard form that is tangent to the line x = -3 at (-3, 5) and also tangent to the line x = 9.
A) (x - 3)2 + (y - 5)2 = 36
B) (x + 3)2 + (y - 5)2 = 36
C) (x + 3)2 + (y + 5)2 = 36
D) (x - 3)2 + (y + 5)2 = 36
Find the center (h, k) and radius r of the circle with the given equation.
75) x2 + y2 = 9
A) (h, k) = (3, 3); r = 9
B) (h, k) = (3, 3); r = 3
C) (h, k) = (0, 0); r = 9
D) (h, k) = (0, 0); r = 3
76) (x - 9)2 + (y + 3)2 = 4
A) (h, k) = (-3, 9); r = 2
B) (h, k) = (9, -3); r = 2
C) (h, k) = (9, -3); r = 4
D) (h, k) = (-3, 9); r = 4
77) (x + 4)2 + y2 = 16
A) (h, k) = (-4, 0); r = 4
B) (h, k) = (0, -4); r = 4
C) (h, k) = (-4, 0); r = 16
D) (h, k) = (0, -4); r = 16
78) x2 + (y + 1)2 = 100
A) (h, k) = (-1, 0); r = 100
B) (h, k) = (0, -1); r = 10
C) (h, k) = (-1, 0); r = 10
D) (h, k) = (0, -1); r = 100
79) 5(x + 5)2 + 5(y - 3)2 = 75
A) (h, k) = (5, -3); r = √(15)
B) (h, k) = (-5, 3); r = √(15)
C) (h, k) = (-5, 3); r = 5√(15)
D) (h, k) = (5, -3); r = 5√(15)
Solve the problem.
80) Find the standard form of the equation of the circle. Assume that the center has integer coordinates and the radius is an integer.
A) (x + 1)2 + (y - 2)2 = 9
B) x2 + y2 - 2x + 4y - 4 = 0
C) x2 + y2 + 2x - 4y - 4 = 0
D) (x - 1)2 + (y + 2)2 = 9
