Chapter 3 Study Guide: Quadratics

10 Questions

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MAT 150 - Algebra


Questions and Answers
  • 1. 
    Give the coordinates for the vertex of the quadratic function .
    • A. 

      (1, -27)

    • B. 

      (-1, -15)

    • C. 

      (3, -15)

    • D. 

      (1, 27)

  • 2. 
    Give the coordinates of the vertex for the quadratic function
    • A. 

      (7, -2)

    • B. 

      (-7, 2)

    • C. 

      (-7, -2)

    • D. 

      (7, 2)

  • 3. 
    Solve for x using factoring: 
    • A. 

      5 and 4

    • B. 

      -2 and -3

    • C. 

      -4 and -1

    • D. 

      4 and 1

  • 4. 
    Solve for x using factoring: 
    • A. 

      1/2 and -2/3

    • B. 

      -1/2 and 2/3

    • C. 

      -2 and 1

    • D. 

      2 and -1

  • 5. 
    Solve for x using the square root method: 
    • A. 

      9 and 1

    • B. 

      9

    • C. 

      9 and -1

    • D. 

      629

  • 6. 
    Solve using the quadratic formula:  Answer Choices: A.  B.  C.  D. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 7. 
    Find the equation of the quadratic function whose graph is a parabola passing through the points (0, -2), (-2, 12) and (3, 7).
    • A. 

      Y = 2x^2 + 3x + 2

    • B. 

      Y = 2x^2 - 3x - 2

    • C. 

      Y = 5/3 x^2 - 8/3 x - 2

    • D. 

      Y = -2x - 2

  • 8. 
    The profit from producing and selling x units of product is given by the function  dollars.  What is the maximum profit that can be made producing the units of product?
    • A. 

      $2050

    • B. 

      $4100

    • C. 

      $120,000

    • D. 

      $1,140,750

  • 9. 
    If a ball is dropped from the top of a 400-ft-high building, its height S in feet is given by , where t is in seconds.  In how many seconds will it take the ball to hit the ground?
    • A. 

      400 seconds

    • B. 

      25 seconds

    • C. 

      5 seconds

    • D. 

      5 and -5 seconds

  • 10. 
    Using the table on page 235 #50 in your textbook, find a quadratic model that fits the data in the table with x = 0 in 2000.
    • A. 

      Y = -0.005x^2 + 0.754x + 8.512

    • B. 

      Y = 3.12x - 2.54

    • C. 

      Y = -0.004x^2 - 0.754x + 8.512

    • D. 

      Y = -16x^2 + 3.243x + 15.7