Multiple Representations in Algebra
Explore multiple representations of linear and quadratic functions through tables, graphs, and equations for Grade 10 Algebra.
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Multiple Representations in Algebra
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Read each question carefully and follow the instructions to represent the given functions in different ways.
1. The table below shows a linear relationship between x and y. Write the equation of the line in slope-intercept form (y = mx + b).
| x | y |
|---|---|
| 0 | 5 |
| 1 | 8 |
| 2 | 11 |
| 3 | 14 |
2. Complete the table of values for the quadratic function y = x² - 3x + 2.
| x | y |
|---|---|
| -1 | |
| 0 | |
| 1 | |
| 2 | |
| 3 | |
3. Which equation best represents the graph shown?
y = 2x + 1
y = -2x + 1
y = x + 2
y = -x + 2
4. Graph the function y = -x² + 4 on the coordinate plane below.
5. Fill in the blanks to match the representation with its type.
a) y = 3x - 7 is an example of an .
b) A set of ordered pairs like (1, 5), (2, 7) represents a .
c) A visual display of points on a coordinate plane is a .
6. Indicate whether each statement is True or False.
a) A linear function always forms a straight line when graphed.
True
False
b) All quadratic functions have a constant rate of change.
True
False
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