(Grade 11) Section 1.6 - Multiple Transformations To Graph

5 Questions | Total Attempts: 108

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(Grade 11)  Section 1.6 - Multiple Transformations To Graph

Complete the following questions


Questions and Answers
  • 1. 
    Functions of the g(x) = a(x – h)^2 can be graphed by applying the appropriate transformations one at a time, to the graph of
    • A. 

      F(x) = 2x

    • B. 

      F(x) = x^2

    • C. 

      F(x) = (x – 1)^2

    • D. 

      F(x) = x + 2

  • 2. 
    List the sequence of steps required to graph the function f(x) = –(x + 4)^2 – 6
    • A. 

      Horizontal translation 4 units to the right, vertical compressions by a factor of 1, vertical translation 6 units down

    • B. 

      Horizontal translation 4 units to the right, reflection in x–axis, vertical translation 6 units down

    • C. 

      Horizontal translation 4 units to the left, vertical translation 6 units up, reflection in x–axis

    • D. 

      Horizontal translation 4 units to the left, reflection in x–axis, vertical translation 6 units down

  • 3. 
    Which function matches the graph?
    • A. 

      F(x) = –2(x – 3)^2 + 1

    • B. 

      F(x) = 2(x + 3)^2 – 1

    • C. 

      F(x) = (x + 3)^2 + 2

    • D. 

      F(x) = ½ (x – 3)^2 – 1

  • 4. 
    Consider a parabola P that is congruent to y = x2, opens upward, and has vertex (–1, 3).  Now find the equation of a new parabola that results if p is reflected in the x–axis and translated 3 units down
    • A. 

      Y = –(x + 4)^2 + 3

    • B. 

      Y = (x – 1)^2 + 6

    • C. 

      Y = – (x + 1)^2

    • D. 

      Y = – (x – 2)^2 + 3

  • 5. 
    A stonewashed jean company has determine the cost in dollars (c) per tonne of stones mined is given by c(x) = 0.2(x – 5)^2 + 7, where x is the number of tonnes of stone.  How does the vertex of the parabola of the function compare to the vertex of f(x) = x^2
    • A. 

      Down 5 units and right 7 units

    • B. 

      Up 7 units and left 5 units

    • C. 

      Up 7 units and right 5 units

    • D. 

      Up 5 units and right 7 units