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Draw a complete graph so that it has the given type of symmetry

Question : Draw a complete graph so that it has the given type of symmetry : 2162333

Draw a complete graph so that it has the given type of symmetry.

41) Symmetric with respect to the x-axis

A)

B)

C)

D)

List the intercepts and type(s) of symmetry, if any.

42) y2 = x + 9

A) intercepts: (0, 9), (3, 0), (-3, 0)

symmetric with respect to y-axis

B) intercepts: (9, 0), (0, 3), (0, -3)

symmetric with respect to x-axis

C) intercepts: (0, -9), (3, 0), (-3, 0)

symmetric with respect to y-axis

D) intercepts: (-9, 0), (0, 3), (0, -3)

symmetric with respect to x-axis

43) 4x2 + 9y2 = 36

A) intercepts: (2, 0), (-2, 0), (0, 3), (0, -3)

symmetric with respect to the origin

B) intercepts: (3, 0), (-3, 0), (0, 2), (0, -2)

symmetric with respect to x-axis, y-axis, and origin

C) intercepts: (3, 0), (-3, 0), (0, 2), (0, -2)

symmetric with respect to x-axis and y-axis

D) intercepts: (2, 0), (-2, 0), (0, 3), (0, -3)

symmetric with respect to x-axis and y-axis

44) y = (-x3/x2 - 7)

A) intercept: (0, 0)

symmetric with respect to y-axis

B) intercept: (0, 0)

symmetric with respect to x-axis

C) intercepts: (√(7), 0), (-√(7), 0), (0, 0)

symmetric with respect to origin

D) intercept: (0, 0)

symmetric with respect to origin

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.

45) y = x + 5

A) origin

B) y-axis

C) x-axis

D) x-axis, y-axis, origin

E) none

46) y = 3x

A) x-axis

B) y-axis

C) origin

D) x-axis, y-axis, origin

E) none

47) x2 + y - 25 = 0

A) origin

B) y-axis

C) x-axis

D) x-axis, y-axis, origin

E) none

48) y2 - x - 64 = 0

A) origin

B) x-axis

C) y-axis

D) x-axis, y-axis, origin

E) none

49) 4x2 + 16y2 = 64

A) x-axis

B) origin

C) y-axis

D) x-axis, y-axis, origin

E) none

50) 4x2 + y2 = 4

A) y-axis

B) x-axis

C) origin

D) x-axis, y-axis, origin

E) none

51) y = x2 + 16x + 64

A) origin

B) x-axis

C) y-axis

D) x-axis, y-axis, origin

E) none

52) y = (8x/x2 + 64)

A) x-axis

B) y-axis

C) origin

D) x-axis, y-axis, origin

E) none

53) y = (x2 - 9/3x4)

A) x-axis

B) y-axis

C) origin

D) x-axis, y-axis, origin

E) none

54) y = 3x2 + 5

A) origin

B) y-axis

C) x-axis

D) x-axis, y-axis, origin

E) none

55) y = (x - 4)(x - 9)

A) y-axis

B) x-axis

C) origin

D) x-axis, y-axis, origin

E) none

56) y = -5x3 + 5x

A) x-axis

B) y-axis

C) origin

D) x-axis, y-axis, origin

E) none

57) y = -6x4 - 6x - 7

A) y-axis

B) x-axis

C) origin

D) x-axis, y-axis, origin

E) none

Solve the problem.

58) If a graph is symmetric with respect to the y-axis and it contains the point (5, -6), which of the following points is also on the graph?

A) (-5, -6)

B) (-5, 6)

C) (-6, 5)

D) (5, -6)

59) If a graph is symmetric with respect to the origin and it contains the point (-4, 7), which of the following points is also on the graph?

A) (4, -7)

B) (7, -4)

C) (-4, -7)

D) (4, 7)

Graph the equation by plotting points.

60) y = x3

A)

B)

C)

D)

Solution
5 (1 Ratings )

Solved
Mathematics 1 Year Ago 119 Views
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