(Grade 11) Section 1.6 - Multiple Transformations To Graph
Complete the following questions
- 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? - ProProfs]( "Which function matches the graph?")
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
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