10 Questions
| Attempts: 469

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 the x-axis, vertical translation 6 units down

- C.
Horizontal translation 4 units to the left, vertical translation 6 units up, reflection in the 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 determined 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

- 6.The graphs of y = x
^{2}and another parabola are shown below. What is a possible equation for the second parabola?- A.
Y = 2x^2 + 1

- B.
Y = ½ x^2 + 1

- C.
Y = 2(x + 1)^2

- D.
Y = –2x^2 – 1

- 7.(4, 16) is a key point on the graph of f(x) = x
^{2}. If the parabola is translated horizontally, 3 units left and reflected vertically in the x-axis, what are the coordinates of the image of the key point?- A.
(7, –16)

- B.
(–1, 16)

- C.
(1, –16)

- D.
(–1, –16)

- 8.Sheila threw a ball into the air. The function h(t) = –5(t – 1)
^{2}+ 5 models the height of the ball h(t), in meters, t seconds after the ball is thrown. Which of the following was not a transformation applied to f(x) = x^{2}to obtain the graph of h(t) = –5(t – 1)^{2}+ 5- A.
Vertical reflection in the x–axis

- B.
Vertical translation 5 units up

- C.
Horizontal translation 1 unit to the right

- D.
Vertical compression by a factor of 1/5

- 9.The graphs of y = x
^{2}and another parabola are shown below. What is the first step that should be performed to transform y = x^{2}to the second parabola?- A.
Horizontal translation 4 units left

- B.
Vertical translation 3 units up

- C.
Vertical stretch by a factor of 2

- D.
Reflection in x-axis

- 10.What would be the coordinates for C'' if C(-1, -4) was rotated 180° to create C', then C' was reflected over the line y=-x?
- A.
(4, 1)

- B.
(1, 4)

- C.
(-4, -1)

- D.
(-1, -4)

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