Question Details

MAT 120 MODULE 4 CHECK YOUR UNDERSTANDING
1.	Reflect A, B, C, and D through the y-axis and give the coordinates of the reflected points, A', B', C', and D'.

2.	Reflect A, B, C, and D through the x-axis and give the coordinates of the reflected points, A', B', C', and D'.
 

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3.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + xy2 + 2y = 1

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4.	Find the equation of the line with slope -6 and y-intercept 4. Write the equation in standard form Ax + By = C, A > 0.

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5.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2y + 4y2 = 1

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6.	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

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7.	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

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8.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation.  y5= x

9.	Reflect A, B, C, and D through the origin and give the coordinates of the reflected points, A', B', C', and D'.

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10.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + y2 + x2y2 = 4

LO4A:Determine the symmetry of a relation.
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11.	Indicate the slope, if it exists. y = -3

LO4D:Determine the slope of a line.
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12.	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.

LO4A:Determine the symmetry of a relation.
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13.	Find the distance between (-3, -2) and (1, 4).

LO4B:Calculate the distance between two points.
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14.	Find the midpoint of the line segment with endpoints (0, 3) and (10, 9).

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15.	Write the equation of the line which passes through (2, -1) and is perpendicular to the line with equation 3y - x = 1.

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16.	Indicate the slope. 3x + 4y = 12
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17.	Write an equation of the line passing through (-8, -3) and perpendicular to y =  . Write your answer in standard form Ax + By = C, A > 0.

18.	Write the equation of the line with slope 0 and y-intercept -3. Write the equation in standard form Ax + By = C, A > 0.

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19.	M is the midpoint of A and B. Find the indicated point. Verify that
 

20.	Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + 6xy + y2 = 1

	

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