Grade 12 Cartesian Graphs Worksheet
This worksheet covers key concepts of Cartesian graphs, including plotting points, understanding equations of lines and curves, and interpreting graphical data relevant for Grade 12 mathematics.
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Cartesian Graphs: Grade 12 Review
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Which of the following equations represents a circle with center (2, -3) and radius 4?
(x - 2)² + (y + 3)² = 4
(x + 2)² + (y - 3)² = 16
(x - 2)² + (y + 3)² = 16
(x + 2)² + (y - 3)² = 4
2. What is the slope of the line passing through points (-1, 5) and (3, -3)?
2
-2
1/2
-1/2
1. The of a line is a measure of its steepness.
2. The point where a graph intersects the y-axis is called the .
3. A linear equation in the form y = mx + b has a y-intercept of .
1. Plot the points A(3, 2), B(-1, 4), and C(0, -3) on the coordinate plane below.
2. Describe the transformation that maps the graph of y = x² to the graph of y = (x - 2)² + 1.
1. The equation x = 5 represents a horizontal line.
True
False
2. The distance formula is derived from the Pythagorean theorem.
True
False
Match each term with its definition.
1. Origin
a. The point (0, 0) on a coordinate plane
2. Quadrant
b. One of four regions on a coordinate plane
3. X-intercept
c. The point where a graph crosses the x-axis