Algebra 2 Quiz On Parabolas

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| By Migueldelarosa

Migueldelarosa

Community Contributor

Quizzes Created: 1 | Total Attempts: 810

Questions: 5 | Attempts: 812 | Updated: Mar 20, 2023

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This is a short quiz to determine if the students are ready for a unit test on parabolas. The questions emphasize the key points that I have been trying to highlight during the instruction.

Questions and Answers

1.

For the following quadratic function: y=2(x-3)²-4, what is the formula for the axis?
- A.
  
  X=3
- B.
  
  X=-3
- C.
  
  Y=3
- D.
  
  Y=-3
- E.
  
  X=2
Correct Answer
A. X=3

Explanation
The formula for the axis of symmetry of a quadratic function in the form y = a(x-h)^2 + k is x = h. In this case, the quadratic function is y = 2(x-3)^2 - 4, so the formula for the axis of symmetry is x = 3.

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1
0
2.

What are the coordinates of the vertex?
- A.
  
  (4, -3)
- B.
  
  (3, -4)
- C.
  
  (2, 4)
- D.
  
  (4, 2)
- E.
  
  (4, -2)
Correct Answer
B. (3, -4)

Explanation
The coordinates of the vertex can be determined by finding the midpoint between the x-coordinates and the y-coordinates of the given points. In this case, the midpoint between 4 and 2 is 3, and the midpoint between -3 and -2 is -4. Therefore, the coordinates of the vertex are (3, -4).

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3.

Does the parabola open up or down?
4.

The y-intercept is (0, _____).

Correct Answer
(0, 4)

Explanation
The y-intercept is the point where a line or curve intersects the y-axis. In this case, the y-intercept is given as (0, 4), which means that the line or curve crosses the y-axis at the point (0, 4). This means that when x is 0, the corresponding y value is 4.

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3
4 4
5.

What are the x-intercepts?

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Current Version
Mar 20, 2023

Quiz Edited by
ProProfs Editorial Team
Dec 23, 2009

Quiz Created by
Migueldelarosa

Algebra 2 Quiz On Parabolas

For the following quadratic function: y=2(x-3)2-4, what is the formula for the axis?

What are the coordinates of the vertex?

Does the parabola open up or down?

The y-intercept is (0, _____).

What are the x-intercepts?

For the following quadratic function: y=2(x-3)²-4, what is the formula for the axis?