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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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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.