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Graph Symmetry in Trigonometry: Tutoring Solution Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1.

Test the following points for symmetry about the origin:

(-1,-5), (-3, -8) and (-5, -13); (1,5), (3,-8) and (5, -13)

Question 2 2.

What is the line of symmetry for the following equation?

y= -3x^2 + 15x -28

Question 3 3. Test this equation for symmetry:

Question 4 4.

Test the following equation for symmetry:

y= x^2 +6

Question 5 5.

The following function is _____.

y=2x^3 - 6x

Page 2

Question 6 6. Test the following equation for symmetry about the origin:

Question 7 7. On the graph of an even function, _____.

Question 8 8. Test the following graph for symmetry about the origin:

Question 9 9.

What is the line, or axis, of symmetry of the following equation?

y= (x+2)^2 + 10

Question 10 10. How do you define symmetry?

Page 3

Question 11 11.

Test the following equation for symmetry about the origin:

x + 3y = 27

Question 12 12. The line of symmetry of a graph is defined as _____.

Question 13 13.

Test the following points for symmetry:

(2,3) (3,3) (3,4) (4,5) (-2,3) (-3,3) (-3,4) (-4,5)

Question 14 14. What is the line, or axis, of symmetry of the following parabola?

Question 15 15.

Identify the following equation:

y= |x| + 4

Page 4

Question 16 16. Test this equation for symmetry:

Question 17 17. This graph represents a(n) _____ function.

Question 18 18.

What is the line of symmetry for the following equation?

y= 4x^2 + 16x -8

Question 19 19. On the graph of a(n) _____ function, the left half of the graph exactly reflects the line or shape on the right half of the graph, except it is upside-down.

Question 20 20.

Test the following points for symmetry:

(3,4) (3,5) (3,6) (4,8) (3,-4) (3, -5) (3, -6) (4,-8)

Page 5

Question 21 21. The symmetry of a graph is defined as _____.

Graph Symmetry in Trigonometry: Tutoring Solution Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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