Introductory and Intermediate Algebra for College Students
6th Edition
ISBN: 9780136554233
Author: Robert F. Blitzer
Publisher: Pearson Education (US)
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Chapter 7.3, Problem 83PE
To determine
Whether the statement, “I noticed that depending on the values of A and B, assuming that they both are not zero, the graph of
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Exercises 45–48 give equations for parabolas and tell how many units up or down and to the right or left each parabola is to be shifted. Find an equation for the new parabola, and find the new vertex, focus, and directrix.
In Exercises 11–16, find the vertex, focus, and directrix of the parabola, and sketch its graph.
In Exercises 17–30, find the equations of the parabolas satisfying the
given conditions. The vertex of each is at the origin.
Chapter 7 Solutions
Introductory and Intermediate Algebra for College Students
Ch. 7.1 - The set of all points in a plane the sum of whose...Ch. 7.1 - Consider the following equation in standard form:...Ch. 7.1 - Prob. 3CVCCh. 7.1 - Consider an ellipse centered at the origin whose...Ch. 7.1 - Prob. 5CVCCh. 7.1 - If the center of an ellipse is (3. -2), the major...Ch. 7.1 - Prob. 7CVCCh. 7.1 - In he equation 3(x2 + 4x) + (4y2 - 2y) = 32 we...Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 2PE
Ch. 7.1 - Prob. 3PECh. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 5PECh. 7.1 - Prob. 6PECh. 7.1 - Prob. 7PECh. 7.1 - Prob. 8PECh. 7.1 - Prob. 9PECh. 7.1 - Prob. 10PECh. 7.1 - Prob. 11PECh. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 14PECh. 7.1 - Prob. 15PECh. 7.1 - Prob. 16PECh. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 18PECh. 7.1 - Prob. 19PECh. 7.1 - Prob. 20PECh. 7.1 - Prob. 21PECh. 7.1 - Prob. 22PECh. 7.1 - In Exercises 19-24, find the standard form of the...Ch. 7.1 - In Exercises 19- find the standard form of the...Ch. 7.1 - Prob. 25PECh. 7.1 - Prob. 26PECh. 7.1 - Prob. 27PECh. 7.1 - Prob. 28PECh. 7.1 - In Exercises 25-36, find the standard form of die...Ch. 7.1 - Prob. 30PECh. 7.1 - In Exercises 25-36, find the standard form of the...Ch. 7.1 - Prob. 32PECh. 7.1 - Prob. 33PECh. 7.1 - In Exercises 25-36, find the standard form of the...Ch. 7.1 - Prob. 35PECh. 7.1 - Prob. 36PECh. 7.1 - Prob. 37PECh. 7.1 - Prob. 38PECh. 7.1 - Prob. 39PECh. 7.1 - Prob. 40PECh. 7.1 - Prob. 41PECh. 7.1 - Prob. 42PECh. 7.1 - Prob. 43PECh. 7.1 - Prob. 44PECh. 7.1 - Prob. 45PECh. 7.1 - Prob. 46PECh. 7.1 - Prob. 47PECh. 7.1 - Prob. 48PECh. 7.1 - Prob. 49PECh. 7.1 - Prob. 50PECh. 7.1 - Prob. 51PECh. 7.1 - Prob. 52PECh. 7.1 - Prob. 53PECh. 7.1 - Prob. 54PECh. 7.1 - Prob. 55PECh. 7.1 - Prob. 56PECh. 7.1 - Prob. 57PECh. 7.1 - Prob. 58PECh. 7.1 - Prob. 59PECh. 7.1 - Prob. 60PECh. 7.1 - Prob. 61PECh. 7.1 - Prob. 62PECh. 7.1 - Prob. 63PECh. 7.1 - Prob. 64PECh. 7.1 - Prob. 65PECh. 7.1 - A semielliptic archway has a height of 20 feet and...Ch. 7.1 - Prob. 67PECh. 7.1 - Prob. 68PECh. 7.1 - Prob. 69PECh. 7.1 - Describe how to graph x225+y216=1.Ch. 7.1 - Prob. 71PECh. 7.1 - Describe one similarity and one difference between...Ch. 7.1 - Prob. 73PECh. 7.1 - Prob. 74PECh. 7.1 - Use a graphing utility to graph any five of the...Ch. 7.1 - Use a graphing utility to graph any three of the...Ch. 7.1 - Prob. 77PECh. 7.1 - Prob. 78PECh. 7.1 - Prob. 79PECh. 7.1 - Prob. 80PECh. 7.1 - Prob. 81PECh. 7.1 - Prob. 82PECh. 7.1 - Prob. 83PECh. 7.1 - Prob. 84PECh. 7.1 - The equation of the red ellipse in the figure...Ch. 7.1 - Prob. 86PECh. 7.1 - Prob. 87PECh. 7.1 - Prob. 88PECh. 7.1 - Exercises 94-96 will help you prepare for the...Ch. 7.2 - Fill in each blank so that the resulting statement...Ch. 7.2 - The vertices of x225y29=1 are ____________ and...Ch. 7.2 - Prob. 3CVCCh. 7.2 - Prob. 4CVCCh. 7.2 - Prob. 5CVCCh. 7.2 - Prob. 6CVCCh. 7.2 - Prob. 7CVCCh. 7.2 - Prob. 8CVCCh. 7.2 - Prob. 9CVCCh. 7.2 - In the equation 9(x2 - 8x) - 16(y2 + 2y) = 16, we...Ch. 7.2 - Prob. 1PECh. 7.2 - Prob. 2PECh. 7.2 - Prob. 3PECh. 7.2 - Prob. 4PECh. 7.2 - Prob. 5PECh. 7.2 - Prob. 6PECh. 7.2 - Prob. 7PECh. 7.2 - Prob. 8PECh. 7.2 - In Exercises 5-12, find the standard form of the...Ch. 7.2 - Prob. 10PECh. 7.2 - Prob. 11PECh. 7.2 - Prob. 12PECh. 7.2 - Prob. 13PECh. 7.2 - Prob. 14PECh. 7.2 - Prob. 15PECh. 7.2 - Prob. 16PECh. 7.2 - Prob. 17PECh. 7.2 - Prob. 18PECh. 7.2 - Prob. 19PECh. 7.2 - Prob. 20PECh. 7.2 - Prob. 21PECh. 7.2 - Prob. 22PECh. 7.2 - Prob. 23PECh. 7.2 - Prob. 24PECh. 7.2 - Prob. 25PECh. 7.2 - Prob. 26PECh. 7.2 - Prob. 27PECh. 7.2 - Prob. 28PECh. 7.2 - Prob. 29PECh. 7.2 - Prob. 30PECh. 7.2 - Prob. 31PECh. 7.2 - Prob. 32PECh. 7.2 - Prob. 33PECh. 7.2 - Prob. 34PECh. 7.2 - Prob. 35PECh. 7.2 - Prob. 36PECh. 7.2 - Prob. 37PECh. 7.2 - Prob. 38PECh. 7.2 - Prob. 39PECh. 7.2 - Prob. 40PECh. 7.2 - Prob. 41PECh. 7.2 - Prob. 42PECh. 7.2 - Prob. 43PECh. 7.2 - Prob. 44PECh. 7.2 - Prob. 45PECh. 7.2 - Prob. 46PECh. 7.2 - Prob. 47PECh. 7.2 - Prob. 48PECh. 7.2 - Prob. 49PECh. 7.2 - Prob. 50PECh. 7.2 - Prob. 51PECh. 7.2 - Prob. 52PECh. 7.2 - Prob. 53PECh. 7.2 - Prob. 54PECh. 7.2 - Prob. 55PECh. 7.2 - Prob. 56PECh. 7.2 - Prob. 57PECh. 7.2 - Prob. 58PECh. 7.2 - Prob. 59PECh. 7.2 - Prob. 60PECh. 7.2 - Prob. 61PECh. 7.2 - Radio lowers a and b, 200 kilometers apart, are...Ch. 7.2 - Prob. 63PECh. 7.2 - Prob. 64PECh. 7.2 - Prob. 65PECh. 7.2 - Prob. 66PECh. 7.2 - Prob. 67PECh. 7.2 - Prob. 68PECh. 7.2 - Prob. 69PECh. 7.2 - Describe one similarity and one difference between...Ch. 7.2 - Describe one similarity and one difference between...Ch. 7.2 - Prob. 72PECh. 7.2 - In 1992, a NASA team began a project called...Ch. 7.2 - Prob. 74PECh. 7.2 - Prob. 75PECh. 7.2 - Prob. 76PECh. 7.2 - Prob. 77PECh. 7.2 - Prob. 78PECh. 7.2 - Prob. 79PECh. 7.2 - Prob. 80PECh. 7.2 - Prob. 81PECh. 7.2 - Prob. 82PECh. 7.2 - Prob. 83PECh. 7.2 - Prob. 84PECh. 7.2 - Prob. 85PECh. 7.2 - In Exercises 85-88, determine whether each...Ch. 7.2 - Prob. 87PECh. 7.2 - In Exercises 85- determine whether each statement...Ch. 7.2 - What happens to the shape of the graph of...Ch. 7.2 - Prob. 90PECh. 7.2 - Prob. 91PECh. 7.2 - Prob. 92PECh. 7.2 - Prob. 93PECh. 7.2 - Isolate the terms involving y on the left side of...Ch. 7.3 - The set of all points in a plane that are...Ch. 7.3 - The equation of the parabola is of the form a. y2...Ch. 7.3 - Prob. 3CVCCh. 7.3 - Prob. 4CVCCh. 7.3 - Prob. 5CVCCh. 7.3 - Prob. 6CVCCh. 7.3 - Prob. 7CVCCh. 7.3 - Prob. 8CVCCh. 7.3 - Use the graph shown to answer Exercises 6-9. If 4p...Ch. 7.3 - Prob. 1PECh. 7.3 - Prob. 2PECh. 7.3 - Prob. 3PECh. 7.3 - Prob. 4PECh. 7.3 - Prob. 5PECh. 7.3 - Prob. 6PECh. 7.3 - In Exercises 5-16, find me focus and directrix of...Ch. 7.3 - Prob. 8PECh. 7.3 - Prob. 9PECh. 7.3 - Prob. 10PECh. 7.3 - Prob. 11PECh. 7.3 - Prob. 12PECh. 7.3 - Prob. 13PECh. 7.3 - Prob. 14PECh. 7.3 - Prob. 15PECh. 7.3 - Prob. 16PECh. 7.3 - Prob. 17PECh. 7.3 - Prob. 18PECh. 7.3 - Prob. 19PECh. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - In Exercises 17-30. find the standard form of the...Ch. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - Prob. 24PECh. 7.3 - Prob. 25PECh. 7.3 - Prob. 26PECh. 7.3 - Prob. 27PECh. 7.3 - Prob. 28PECh. 7.3 - Prob. 29PECh. 7.3 - Prob. 30PECh. 7.3 - Prob. 31PECh. 7.3 - Prob. 32PECh. 7.3 - Prob. 33PECh. 7.3 - Prob. 34PECh. 7.3 - In Exercises 42, find the vertex, focus, and...Ch. 7.3 - Prob. 36PECh. 7.3 - Prob. 37PECh. 7.3 - Prob. 38PECh. 7.3 - Prob. 39PECh. 7.3 - Prob. 40PECh. 7.3 - Prob. 41PECh. 7.3 - Prob. 42PECh. 7.3 - Prob. 43PECh. 7.3 - Prob. 44PECh. 7.3 - Prob. 45PECh. 7.3 - Prob. 46PECh. 7.3 - Prob. 47PECh. 7.3 - Prob. 48PECh. 7.3 - Prob. 49PECh. 7.3 - Prob. 50PECh. 7.3 - In Exercises 57-62, use the vertex and the...Ch. 7.3 - Prob. 52PECh. 7.3 - Prob. 53PECh. 7.3 - In Exercises 57- use the vertex and the direction...Ch. 7.3 - Prob. 55PECh. 7.3 - Prob. 56PECh. 7.3 - Prob. 57PECh. 7.3 - Prob. 58PECh. 7.3 - Prob. 59PECh. 7.3 - Prob. 60PECh. 7.3 - Prob. 61PECh. 7.3 - The reflector of a flashlight is in the shape of a...Ch. 7.3 - Prob. 63PECh. 7.3 - Prob. 64PECh. 7.3 - Prob. 65PECh. 7.3 - Prob. 66PECh. 7.3 - Prob. 67PECh. 7.3 - Prob. 68PECh. 7.3 - Prob. 69PECh. 7.3 - Explain how to use y2 = 8x to find the parabolas...Ch. 7.3 - Prob. 71PECh. 7.3 - Describe one similarity and one difference between...Ch. 7.3 - Prob. 73PECh. 7.3 - Prob. 74PECh. 7.3 - Prob. 75PECh. 7.3 - Prob. 76PECh. 7.3 - Prob. 77PECh. 7.3 - Prob. 78PECh. 7.3 - Prob. 79PECh. 7.3 - Prob. 80PECh. 7.3 - Prob. 81PECh. 7.3 - Prob. 82PECh. 7.3 - Prob. 83PECh. 7.3 - Prob. 84PECh. 7.3 - In Exercises 97, determine whether each statement...Ch. 7.3 - In Exercises 94-97, determine whether each...Ch. 7.3 - Prob. 87PECh. 7.3 - Prob. 88PECh. 7.3 - Prob. 89PECh. 7.3 - Prob. 90PECh. 7.3 - Consult the research department of your library or...Ch. 7.3 - Prob. 92PECh. 7.3 - Exercises 104-106 will help you prepare for the...Ch. 7.3 - Exercises 104-will help you prepare for the...Ch. 7 - In Exercises 1-5, graph each ellipse. Give the...Ch. 7 - Prob. 2MCCPCh. 7 - Prob. 3MCCPCh. 7 - Prob. 4MCCPCh. 7 - Prob. 5MCCPCh. 7 - Prob. 6MCCPCh. 7 - Prob. 7MCCPCh. 7 - Prob. 8MCCPCh. 7 - In Exercises 6-11. graph each hyperbola. Give the...Ch. 7 - Prob. 10MCCPCh. 7 - Prob. 11MCCPCh. 7 - Prob. 12MCCPCh. 7 - Prob. 13MCCPCh. 7 - Prob. 14MCCPCh. 7 - In Exercises 12-18, graph each equation, x2 + 4y2...Ch. 7 - Prob. 16MCCPCh. 7 - In Exercises 12-18, graph each equation. x2 + 4(y...Ch. 7 - Prob. 18MCCPCh. 7 - Prob. 19MCCPCh. 7 - Prob. 20MCCPCh. 7 - Prob. 21MCCPCh. 7 - Prob. 22MCCPCh. 7 - A semielliptical archway over a one-way road has a...Ch. 7 - Prob. 24MCCPCh. 7 - Prob. 25MCCPCh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - In Exercises 1-8, graph each ellipse and locate...Ch. 7 - In Exercises 1-8, graph each ellipse and locate...Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - An elliptical pool table has a ball placed at each...Ch. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - In Exercises 15-22, graph each hyperbola. Locate...Ch. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - In Exercises 24, find the standard form of the...Ch. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - In Exercises 34- find the standard form of the...Ch. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 1CRECh. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Expand using logarithmic properties. Where...Ch. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - The local cable television company offers two...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. 5. Foci: (0, –3), (0, 3); vertices: (0, –1), (0, 1) 6. Foci: (0, –6), (0, 6); vertices: (0, -2), (0, 2) 7. Foci: (-4, 0), (4, 0); vertices: (-3, 0), (3,0) 8. Foci: (-7, 0), (7, 0); vertices: (-5, 0), (5,0) 9. Endpoints of transverse axis: (0, -6), (0, 6); asymptote: y = 2x 10. Endpoints of transverse axis: (-4,0), (4, 0); asymptote: y = 2r 11. Center: (4, -2); Focus: (7, -2); vertex: (6, -2) 12. Center: (-2, 1); Focus: (-2, 6); vertex: (-2, 4)arrow_forwardIn Exercises 5–16, determine the coordinates of the focus and the equation of the directrix of the given parabolas. Sketch each curve.arrow_forwardIn Exercises 23– 40, determine the center (or vertex if the curve is a parabola) of the given curve. Sketch each curve.arrow_forward
- In Exercises 3–16, find the coordinates of the vertices and foci of the given ellipses. Sketch each curve.arrow_forwardExercises 49–52 give equations for ellipses and tell how many units up or down and to the right or left each ellipse is to be shifted. Find an equation for the new ellipse, and find the new foci, vertices, and center.arrow_forwardIn Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola. 35. (x – 2) = 8(y – 1) 37. (x + 1) = -8(y + 1) 39. (y + 3) = 12(x + 1) 41. (y + 1) = -&r 36. (x + 2) = 4(y + 1) 38. (x + 2) = -8(y + 2) 40. (y + 4)2 = 12(x + 2) %3D %3D 42. (y - 1) = -&rarrow_forward
- In Exercises 9–24, find the equation of each of the circles from the given information.arrow_forwardExercises 27–34 give equations for hyperbolas. Put each equation instandard form and find the hyperbola’s asymptotes. Then sketch thehyperbola. Include the asymptotes and foci in your sketch.27. x2 - y2 = 1 28. 9x2 - 16y2 = 14429. y2 - x2 = 8 30. y2 - x2 = 431. 8x2 - 2y2 = 16 32. y2 - 3x2 = 333. 8y2 - 2x2 = 16 34. 64x2 - 36y2 = 2304arrow_forwardIn Exercises 1–8, find the eccentricity of the ellipse. Then find and graph the ellipse’s foci and directrices.arrow_forward
- For Exercises 13–22, a. Identify the center. b. Identify the vertices. c. Identify the foci. d. Write equations for the asymptotes. e. Graph the hyperbola. (See Examples 1-2) 13. 16 y? = 1 25 14. 25 y? = 1 36 y² 15. 4 = 1 36 y? 16. 9. = 1 49 17. 25y - 81x = 2025 18. 49y? 16x = 784 19. - 5x? + 7y² = -35 20. –7x + 1ly = -77 21. 25 16y 1 4x? 22. 81 16y? 1 49 225arrow_forwardIn Exercises 51-60, convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 51. 9x? + 25y? – 36x + 50y – 164 = 0 52. 4x + 9y? - 32x + 36y + 64 = 0 53. 9x? + 16y? - 18x + 64y - 71 = 0 54. x + 4y? + 10x 8y + 13 = 0 55. 4x2 + y? + 16x – 6y – 39 = 0 56. 4x + 25y? – 24x + 100y + 36 = 0 57. 25x + 4y - 150x + 32y + 189 = 0 %3D 58. 49x? + 16y² + 98x – 64y - 671 = 0 59. 36x? + 9y2 - 216x = 0 %3! 60. 16x? + 25y² – 300y + 500 = 0 %3Darrow_forward
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