9-1 Quadratic Graphs And Their Properties

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| By Courtney Frank

Courtney Frank

Community Contributor

Quizzes Created: 45 | Total Attempts: 15,526

Questions: 5 | Attempts: 764 | Updated: Mar 18, 2023

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Questions and Answers

1.

Which equation has a graph that is narrower than the graph of ?
- A.
- B.
- C.
- D.
Correct Answer
B.

Explanation
The equation that has a graph narrower than the graph of another equation is the one with a larger coefficient in front of the x term. A larger coefficient in front of the x term causes the graph to be stretched horizontally, making it narrower.

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2.

Find the coordinates of the vertex of the graph of . Identify the vertex as a maximum or a minimum.
- A.
  
  (2, 0); maximum
- B.
  
  (0,4); minimum
- C.
  
  (0, 4); maximum
- D.
  
  (2, 0); minimum
Correct Answer
C. (0, 4); maximum

Explanation
The coordinates of the vertex of the graph are (0, 4). The fact that it is identified as a maximum indicates that the graph reaches its highest point at this vertex.

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3.

What is the vertex of the parabola shown?
- A.
  
  (-1, 0)
- B.
  
  (0, -3)
- C.
  
  (1, -4)
- D.
  
  (3, 0)
Correct Answer
C. (1, -4)

Explanation
The vertex of a parabola is the highest or lowest point on the curve. In this case, the vertex is given as (1, -4), which means that the parabola opens downwards and reaches its lowest point at x = 1 and y = -4.

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4.

Which graph represents the function
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
C. C
5.

Which equation corresponds to the graph shown?
- A.
- B.
- C.
- D.
Correct Answer
C.