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2.6 Relations and Parametric Equations

2.6 Relations and Parametric Equations. Pg. 117 #52 – 56 all Pg. 127 #25 – 28 all , 35 – 38 all Pg. 138 #60 #32 (2, ∞) #33 (-∞, -4)U((-1, 2) #34 (-1, 1) #35 (-3, 1) #36 (-∞, 0.70)U(4.30, ∞) #37 [0.28, 2.39]

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2.6 Relations and Parametric Equations

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  1. 2.6 Relations and Parametric Equations • Pg. 117 #52 – 56 allPg. 127 #25 – 28 all, 35 – 38 all Pg. 138 #60 • #32 (2, ∞) • #33 (-∞, -4)U((-1, 2) • #34 (-1, 1) • #35 (-3, 1) • #36 (-∞, 0.70)U(4.30, ∞) • #37 [0.28, 2.39] • #29 (x – 1)2 + (y – 4) 2 = 25 #32 (x – 5)2 + (y + 3) 2 = 64 • #30 (x + 3)2 + (y – 2) 2 = 1 #33 (3, 1) and r = 6 • #31 (x + 1)2 + (y + 4) 2 = 9 #34 (-4, 2) and r = 11

  2. 2.6 Relations and Parametric Equations Word Problems Consider the collection of all rectangles that have a length 2 inches less than twice the width. Find the possible widths of these rectangles if their perimeters are less than 200 inches. An electrician charges $18/hr plus $25 per service call for home repair work. How long did she work of her charges were less than $100? • Sarah has $45 to spend and wishes to take as many friends as possible to a concert. Parking is $5.75 and concert tickets are $7.50 each. • Let x represent the number of friends Sarah takes to the concert. Write an inequality that is an algebraic representation for this problem situation. • Solve the inequality. How many friends can Sarah take?

  3. 2.6 Relations and Parametric Equations Sign Patterns Circles Write the equation of a circle with center (2, -3) and radius 6. State the center and radius of the circle and graph with equation:(x – 4)2 + (y + 3) 2 = 9 • Make a sign pattern for thefollowing function:

  4. 2.6 Relations and Parametric Equations Completing the Square Symmetry A graph will be symmetric about the x – axis if (x, -y) is on the graph whenever (x, y) is on the graph. A graph will be symmetric about the y – axis if (-x, y) is on the graph whenever (x, y) is on the graph. A graph will be symmetric about the origin if (-x, -y) is on the graph whenever (x, y) is on the graph. • Complete the square to find the equation of the circle. State the center and radius of each. • x2 – 10x + y2 + 18y + 57 = 0 • x2 + x + y2 – 2y = 5

  5. 2.6 Relations and Parametric Equations Symmetry Practice • Determine the type of symmetry for the following functions:

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