Questions and Answers
What is the result of reflecting a function across the x-axis?
What is the result of reflecting a function across the y-axis?
What does the expression f(x+a) represent?
What does the expression f(x-a) represent?
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What does f(x) + a represent?
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What does f(x) - a represent?
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A vertical stretch is indicated by the condition a > 1.
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Study Notes
Reflection Rules
- Reflection across the x-axis is represented by the equation -f(x), which flips the graph over the x-axis.
- Reflection across the y-axis is denoted by f(-x), which flips the graph over the y-axis.
Shift Rules
- A horizontal shift to the left is expressed as f(x+a), moving the graph left by 'a' units.
- A horizontal shift to the right is shown as f(x-a), moving the graph right by 'a' units.
- A vertical shift upwards is characterized by f(x) + a, lifting the graph up by 'a' units.
- A vertical shift downwards is represented by f(x) - a, lowering the graph down by 'a' units.
Stretch Rules
- A vertical stretch occurs when the function is multiplied by a factor 'a' where a > 1, making the graph steeper.
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Description
Test your knowledge on the reflection, shift, and stretch rules in Algebra 2. This quiz covers essential transformations of functions, helping you understand how to manipulate them effectively. Perfect for students looking to reinforce their learning in algebraic concepts.
