Questions and Answers
When the leading coefficient is positive, what will the graph do?
When the leading coefficient is negative, what will the graph do?
A reflection is over the:
X-axis
What will the 4 in |x+4|-2 make you do?
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What will the 2 do in |x+4|-2 make you do?
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Study Notes
Graph Behavior and Transformations
- Positive Leading Coefficient: Graph opens upwards, indicating a U-shaped curve.
- Negative Leading Coefficient: Graph opens downwards, resembling an upside-down U-shape.
Reflections
- Reflection Axis: A reflection occurs over the X-axis, changing the sign of the Y-values in a function.
Horizontal and Vertical Shifts
- Horizontal Shift: The value '4' in |x+4|-2 indicates a leftward shift of 4 units on the graph.
- Vertical Shift: The value '2' in |x+4|-2 indicates a downward shift of 2 units on the graph.
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Description
Test your knowledge of reflections in Algebra 1 with this set of flashcards. Each card covers key concepts related to how leading coefficients affect graph orientation and the impact of constants in absolute value functions. Perfect for quick revision and memorization.
