5 Questions
| Total Attempts: 160

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 = x
^{2}, 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