# U of M MATH 1031 - Worksheet (4 pages)

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## Worksheet

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## Worksheet

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Pages:
4
School:
University of Minnesota- Twin Cities
Course:
Math 1031 - College Algebra and Probability
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Math 1031 College Algebra and Probability Chapter 2 Worksheet October 5 2010 1 a Graph the equations y x and y x 1 by plotting points Be sure to label both axes and all intercepts x y x y b Do either of the graphs from part a have x axis symmetry y axis symmetry or symmetry about the origin Explain both in terms of your graph and by computing c Graph the equation y 2 x 1 Label both axes and all intercepts x y d Graph the equation y 2 x 1 3 x y e There are two lines that make up the graph in part d Find the equation of each of these lines 2 a Graph the line 2x 3y 6 by finding the x and y intercepts Be sure to label both axes and all intercepts b Find an equation for the line which is parallel to 2x 3y 6 and which passes through the point 1 2 c Find an equation for the line which is perpendicular to 2x 3y 6 and which passes through the point 1 2 d Graph the lines from parts b and c on the same coordinate plane as the line from part a Does your graph make sense How can you tell 3 a Determine the constant you would have to add to 2x2 4x in order to make it a perfect square 2y 2 4y b Determine the constant you would have to add to 2y 2 6y in order to make it a perfect square 2x2 6x c Show that the graph of the equation 2x2 2y 2 6x 4y 23 2 0 is a circle by writing the equation in standard form d What is the center and radius of the circle from part c e Graph the circle from part c f Show that the point 3 2 4 lies on the circle How far is it from 3 2 4 to the center of the circle Confirm your answer using the distance formula

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