Grade 11 Multiple Transformations To Graph Quiz

10 Questions | By Seixeiroda | Updated: Oct 12, 2022 | Attempts: 469

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Grade 11 Multiple Transformations To Graph Quiz - Quiz

Have you practiced grade 11 multiple transformations to graph well? Take this quiz, give it a try, and see how well you have understood the concepts of multiple transformations to the graph. This quiz will not only test your knowledge but enhance it too. So, you must go for this quiz and practice the math questions about multiple transformations to the graph. All the best for this quiz! You will get a perfect score on this quiz with all the correct answers. Do not forget to share the quiz with others.

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 = 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 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 = x² 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) = x². 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) = x² 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 = x² and another parabola are shown below. What is the first step that should be performed to transform y = x² 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)