Algebra 2 Quiz On Parabolas
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=3Explanation
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.Rate this question:
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- 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).Rate this question:
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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.Rate this question:
- 5.
What are the x-intercepts?
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Current Version
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Mar 20, 2023Quiz Edited by
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Dec 23, 2009Quiz Created by
Migueldelarosa
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