Grade 11 Graphing Quadratic Functions Quiz

10 Questions | By Seixeiroda | Last updated: Oct 12, 2022 | Total Attempts: 495

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Grade 11 Graphing Quadratic Functions Quiz - Quiz

Do you wish to test your knowledge of graphing and quadratic functions? Try this grade 11 graphing quadratic functions quiz to test your knowledge and understanding. This is a very common topic. So, the basics of quadratic functions and graphs are important to understand. If you know them, it is time to test your knowledge. All the best! Try to get a perfect score on this quiz. You can share the quiz with others too who wish to practice the quadratic functions on graphs.

Questions and Answers

1.

Which correctly identifies the values of the parameters a, h, and k for the function f(x) = –2(x + 3)^2 + 1
- A.
  
  A = –2, h = 3, k = 1
- B.
  
  A = 2, h = –3, k =–1
- C.
  
  A = –2, h = –3, k = 1
- D.
  
  A = –2, h = –3, k = –1
2.

What is the equation of this graph
- A.
  
  Y = –x^2 + 3
- B.
  
  Y = –3x^2
- C.
  
  Y = –(x + 3)^2
- D.
  
  Y = –(x – 3)^2
3.

Which function includes a translation of 3 units left?
- A.
  
  F(x) = (x + 3)^2 + 1
- B.
  
  F(x) = 3x^2 + 1
- C.
  
  F(x) = (x – 3)^2 + 1
- D.
  
  F(x) = (x + 1)^2 – 3
4.

Consider a parabola P that is congruent to y = x^2 and with vertex at (0, 0). Find the equation of a new parabola that results if P is translated 3 units
- A.
  
  Y = (x + 3)^2 + 4
- B.
  
  Y = (x – 3)^2 + 4
- C.
  
  Y = (x – 4)^2 + 3
- D.
  
  Y = (x – 3)^2 – 4
5.

The formula for compound interest on $1000at a given interest rate, r, is shown by the function f(r) = 1000(r + 1)^2. What are the values of the parameters a, h, and k for f(r)
- A.
  
  A = 1000, h = 1, k = 0
- B.
  
  A = 1000, h = 0, k = 1
- C.
  
  A = 0, h = 1000, k = 1
- D.
  
  A = 1000, h = –1, k = 0
6.

Leila dropped a pebble from a bridge that is 100 meters above the river. The function h(t) = –5t^2 + 100 describes the height of the pebble, h(t), in meters, t seconds after the pebble is dropped. Which is the axis of symmetry for the graph of the function?
- A.
  
  X = –5
- B.
  
  X = 0
- C.
  
  X = 5
- D.
  
  X = 100
7.

Which equation shows a translation of 3 left and vertical compression by a factor of 2 to the graph y = x^2
- A.
  
  Y = 2(x – 3)^2
- B.
  
  Y = 2(x + 3)^2
- C.
  
  Y = ½(x – 3)^2
- D.
  
  Y = ½(x + 3)^2
8.

Joanne hit a ball straight up into the air. The height of the ball in metres, is given by the function h(t) = –5(t – 3)^2 + 45 t seconds after the ball is hit. In how many seconds will the ball hit the ground?
- A.
  
  3
- B.
  
  6
- C.
  
  9
- D.
  
  45
9.

Kevin threw a ball straight up with an initial speed of 20 metres of second. The function y = –5(x – 2)^2 + 20 describes the ball’s height, in metres, t seconds after Kevin threw it. What are the coordinates of the vertex?
- A.
  
  (–5,2)
- B.
  
  (2,20)
- C.
  
  (20,2)
- D.
  
  (–5,20)
10.

Which equation describes a parabola that opens downward, is congruent to y = x^2, and has its vertex at (0, 3)
- A.
  
  Y = (x + 3)^2 – 1
- B.
  
  Y = –x^2 + 3
- C.
  
  Y = –(x – 3)^2
- D.
  
  Y = x^2 + 3