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Questions and Answers
When the leading coefficient is positive, what will the graph do?
When the leading coefficient is positive, what will the graph do?
- Shift left
- Open up (correct)
- Open down
- Shift right
When the leading coefficient is negative, what will the graph do?
When the leading coefficient is negative, what will the graph do?
- Open down (correct)
- Shift left
- Shift right
- Open up
A reflection is over the:
A reflection is over the:
X-axis
What will the 4 in |x+4|-2 make you do?
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?
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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