MAT 120 WEEK 4 QUIZ
1 Reflect A B C and D through the y axis and give the coordinates of the reflected points A B C and D
a. A' = (-1, 0), B' = (-3, -6), C' = (3, -1), D' = (2, 5)
b. A' = (0, 1), B' = (6, 3), C' = (1, -3), D' = (-5, -2)
c. A' = (0, -1), B' = (-6, -3), C' = (-1, 3), D' = (5, 2)
d. A' = (1, 0), B' = (3, -6), C' = (-3, 1), D' = (2, -5)
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
2. Write the equation of the line which passes through (2, -1) and is perpendicular to the line with equation 3y - x = 1.
a. 3x + y = 5
b. 3x - y = 7
c. x + 3y = -1
d. x - 3y = 5
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4E:Write the equation of a line in a specified form.
LO4F:Determine the slopes of parallel and perpendicular lines.
3. Write the equation of the line passing through (-3, -5) and (3, 0). Write your answer in the slope-intercept form y = mx + b.
a.
b.
c.
d.
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4D:Determine the slope of a line.
LO4E:Write the equation of a line in a specified form.
4. Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. y2/7 = x
a.
Symmetric with respect to the y-axis.
b.
Symmetric with respect to the x-axis.
c.
Symmetric with respect to the y-axis.
d.
Symmetric with respect to the x-axis.
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
5. Write the equation of the line passing through (-2, -8) and (-2, -6).
a. x = -2
b. y = -2
c. y = x - 2
d. y = 2x
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4D:Determine the slope of a line.
LO4E:Write the equation of a line in a specified form.
6. Solve for y, producing two equations, and then graph both of these equations in the same viewing window.
(y - 2)2 - x2 = 9
a.
b.
c.
d.
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
7. M is the midpoint of A and B. Find the indicated point. Verify that
a. (0.9, -4.7)
b. (-6.1, -5.7)
c. (6.1, 5.7)
d. (-27.1, -8.7)
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4C:Calculate the midpoint of a segment.
8. Indicate the slope. 3x + 2y = 6
a.
b. -
c.
d. -
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4D:Determine the slope of a line.
9. M is the midpoint of A and B. Find the indicated point. Verify that
a. (9, 24)
b. (-6, -3)
c. (6, 3)
d. (-11, -12)
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4C:Calculate the midpoint of a segment.
10. Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + 6xy + y2= 1
a. Symmetric with respect to the x-axis
b. Symmetric with respect to the y-axis
c. Symmetric with respect to the origin
d. Symmetric with respect to the x-axis, the y-axis, and the origin
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
11. Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. 16x2 - y2 = 1.
a.
Symmetric with respect to the x-axis
b.
Symmetric with respect to the y-axis
c.
Symmetric with respect to the x-axis, y-axis, and origin
d.
Symmetric with respect to the x-axis, y-axis, and origin
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
12. Find the equation of the line with slope -6 and y-intercept 4. Write the equation in standard form Ax + By = C, A > 0.
a. 6x - y = 4
b. 6x - y = -4
c. 6x + y = 4
d. 6x + y = -4
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4E:Write the equation of a line in a specified form.
13. Write the equation of the line with slope 0 and y-intercept -3. Write the equation in standard form Ax + By = C, A > 0.
a. -3x - y = 0
b. -3x + y = 0
c. y = -3
d. -3
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4E:Write the equation of a line in a specified form.
14. Find the distance between (-3, -2) and (1, 4).
a. 27
b.
c.
d.
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4B:Calculate the distance between two points.
15. Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + y2 + x2y2= 4
a. Symmetric with respect to the x-axis
b. Symmetric with respect to the y-axis
c. Symmetric with respect to the origin
d. Symmetric with respect to the x-axis, the y-axis, and the origin
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
16. Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2y + 4y2 = 1
a. Symmetric with respect to the x-axis
b. Symmetric with respect to the y-axis
c. Symmetric with respect to the origin
d. Not symmetric with respect to the x-axis, the y-axis, or the origin
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
17. Find the midpoint of the line segment with endpoints (0, 3) and (10, 9).
a. (10, 12)
b. (-10, -6)
c. (5, 6)
d. (-5, -3)
Hint: Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4C:Calculate the midpoint of a segment.
18. Reflect A, B, C, and D through the x-axis and give the coordinates of the reflected points, A', B', C', and D'.
a. A' = (0, -1), B' = (-6, -3), C' = (-1, 3), D' = (5, 2)
b. A' = (0, 1), B' = (6, 3), C' = (1, -3), D' = (-5, -2)
c. A' = (-1, 0), B' = (-3, -6), C' = (3, -1), D' = (2, 5)
d. A' = (1, 0), B' = (-3, 6), C' = (3, 1), D' = (2, -5)
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
19. Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. xy = 4
a.
Symmetric with respect to the origin.
b.
Symmetric with respect to the origin.
c.
Symmetric with respect to the x-axis.
d.
Symmetric with respect to the y-axis.
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
20. Reflect A, B, C, and D through the origin and give the coordinates of the reflected points, A', B', C', and D'.
a. A' = (-1, 0), B' = (-3, 6), C' = (3, 1), D' = (2, -5)
b. A' = (0, -1), B' = (-6, -3), C' = (1, 3), D' = (5, 2)
c. A' = (1, 0), B' = (3, -6), C' = (-3, -1), D' = (-2, 5)
d. A' = (0, -1), B' = (6, -3), C' = (1, 3), D' = (-5, 2)
Hint:Sections 2.1-2.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4A:Determine the symmetry of a relation.
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