Quadrants on the Coordinate Plane
Explore and identify points in different quadrants of the coordinate plane, including advanced concepts like transformations and functions.
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Quadrants on the Coordinate Plane
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Read each question carefully and provide your answer in the space provided. For graphing questions, plot the points accurately on the coordinate plane.
1. In which quadrant would the point (-5, 3) be located?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
2. If a point (x, y) is in Quadrant IV, which of the following must be true?
x > 0, y > 0
x < 0, y > 0
x < 0, y < 0
x > 0, y < 0
3. Plot the points A(2, 5), B(-4, 1), C(3, -2), and D(-1, -3) on the coordinate plane below. Then, identify the quadrant for each point.
Point A:
Point B:
Point C:
Point D:
4. The x-axis and y-axis intersect at the , which has coordinates (0,0).
5. A point with a negative x-coordinate and a positive y-coordinate lies in Quadrant .
6. The point (0, 7) is located in Quadrant I.
True
False
7. If a point is reflected across the y-axis from Quadrant I, its new position will be in Quadrant II.
True
False
8. A function f(x) = x^2 - 4 is graphed on a coordinate plane. In which quadrant(s) does the graph of f(x) intersect the x-axis?
9. Consider a point P(a, b) in Quadrant I. If P is rotated 270 degrees clockwise about the origin, in which quadrant will the new point P' be located?
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