Characteristics of Quadratic Functions
Presentation
•
Mathematics
•
9th Grade
•
Hard
James Gonzalez
FREE Resource
21 Slides • 31 Questions
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Drag and Drop
What is the Domain?
<
<
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Drag and Drop
What is the Range?
<
≤
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Drag and Drop
What is the End Behavior?
As x → −∞ , f(x) →
As x → ∞, f(x) →
As x → −∞ , f(x) →
As x → ∞, f(x) →
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Hotspot
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Fill in the Blanks
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Multiple Choice
How many x-intercepts?
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Hotspot
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Fill in the Blanks
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Dropdown
What are the zeros?
Hint: Enter the values from Left to Right.
x =
Hint: Enter the values from Left to Right.
x =
and x =
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Hotspot
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Fill in the Blanks
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Multiple Choice
What is the vertex?
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Drag and Drop
Use the graph above and find the axis of symmetry.
x =
x =
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Graphing
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Drag and Drop
Use the graph above and find the intervals.
Interval of Increase:
Interval of Decrease:
Interval of Increase:
Interval of Decrease:
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Poll
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Fill in the Blanks
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Dropdown
The vertex for D(x) is (4, 2). The dolphin reaches a maximum height of 2 meters at 4 seconds.
What does the vertex of B(x) mean in context?
The Bird reaches a
What does the vertex of B(x) mean in context?
The Bird reaches a
height of
meters at
seconds
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Drag and Drop
The axis of symmetry of D(x) is x = 4. This is the x value that splits the graph into 2 equal pieces.
What is the axis of symmetry of B(x)?
x =
What is the axis of symmetry of B(x)?
x =
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Hotspot
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Fill in the Blanks
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Dropdown
The x-intercepts of B(x) are (1, 0) and (5, 0). This means that the height of the bird at sea level was 0 meters at 1 second and 5 seconds.
What does the x-intercepts of D(x) mean in context?
This means that the height of the dolphin at sea level was 0 meters at
What does the x-intercepts of D(x) mean in context?
This means that the height of the dolphin at sea level was 0 meters at
second and
seconds.
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Hotspot
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Fill in the Blanks
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Dropdown
The y-intercept of D(x) is (0, -6). This means at the start the dolphin was 6 meters below sea level.
What does the y-intercept of D(x) mean in context?
This means at the start the bird was
What does the y-intercept of D(x) mean in context?
This means at the start the bird was
meters
sea level.
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Dropdown
Function D(x) has an interval of increase when 0 ≤ x < 4 because the dolphin’s height is going up between 0 and 4 seconds.
What are the intervals of increase for B(x)?
Function B(x) has an interval of increase when
because the height of the bird is going up between
What are the intervals of increase for B(x)?
Function B(x) has an interval of increase when
≤ x <
because the height of the bird is going up between
seconds and
seconds.
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Dropdown
Function D(x) has an interval of decrease of
when 4 < x ≤ 7 because the height of the dolphin is going down between 4 seconds and 7 seconds.
What are the intervals of decrease for B(x)?
Function B(x) has an interval of decrease of
when
when 4 < x ≤ 7 because the height of the dolphin is going down between 4 seconds and 7 seconds.
What are the intervals of decrease for B(x)?
Function B(x) has an interval of decrease of
when
< x ≤
because the height of the bird is going down between
seconds and
seconds.
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Drag and Drop
The domain of D(x) is 0 ≤ x ≤ 7 (0 to 7 seconds)
What are the domain of B(x)?
(
What are the domain of B(x)?
≤
≤
(
to
seconds)
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Drag and Drop
The range of D(x) is –6 ≤ y ≤ 2 (6 meters below sea level to 2 meters above sea level).
What are the range of B(x)?
What are the range of B(x)?
≤
≤
meters below sea level to
meters above sea level
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Categorize
Sort the following statements into two categories(True or False).
True
False
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Labelling
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