1.   The roots of  x2 + 4x + 7 are________.
    A. imaginary B. real and rational
    C. real and irrational D. real and imaginary
    Hint

  2.   Find a quadratic equation that has roots 6 + 2i and 6 - 2i.
    A. x2 - 12x - 40 = 0 B. x2 +12x - 40 = 0
    C. x2 + 12x + 40 = 0 D. x2 - 12x + 40 = 0
    Hint

  3.   Find the axis of symmetry of the graph of  f(x) = 4x2 -4x + 4.
    A. x = 2 B. x =
    C. y = 3 D. x = 4
    Hint

  4.   Determine whether f(x) = –x2 – 3x + 4 has a maximum or a minimum.
    A. both B. cannot be determined from given information
    C. maximum D. minimum
    Hint

  5.   Find the minimum value of .
    A. 2 B. 11
    C. (2, 7) D. 7
    Hint

  6.   Solve 0 = x2 + 4x + 5 by graphing.
    A. 2 B. –1, 5
    C. 1, –5 D. no real roots
    Hint

  7.   A quadratic function has two real roots. How many times does the graph cross the x-axis?
    A. 2 B. 0
    C. 1 D. cannot be determined from given information.
    Hint

  8.   What is the negative solution of the equation ?
    A. –5 B.
    C. –3 D. 3
    Hint

  9.   Solve x2 + 8x + 16 = 36 by using the Square Root Property.
    A. -2 and –14 B. 2 and –10
    C. -4 D. 2
    Hint

  10.   Solve 2x2 - 7x + 5 = 0 by completing the square.
    A. B.
    C. 4, 10 D.
    Hint

  11.   Find the value for the discriminant for the following equation: . Then describe the number and type of roots.
    A. The discriminant is negative, so there are two complex roots. B. The discriminant is 100, which is a perfect square; therefore, there are two rational roots
    C. The discriminant is 100, which is not a perfect square; therefore, there are two irrational roots D. The discriminant is 96, which is not a perfect square; therefore, there are two irrational roots.
    Hint

  12.   Which of the following functions will have the widest graph?
    A. y = –2x2 + 5x – 1 B. y = 3x2 – 8
    C. y = x2 +3x + 1 D. y = x2 + x – 3
    Hint

  13.   Solve by graphing.
    A. {x| –1.12 < x < 3.12} B. {x| –1.12 < x < 0}
    C. {x| 0 < x < 3.12} D. {x| 0 < x < 3}
    Hint

  14.   When is it true that x2 + x > –2?
    A. B.
    C. D. all real numbers
    Hint



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