Quadratic Features
Presentation
•
Mathematics
•
11th - 12th Grade
•
Easy
Standards-aligned
Karine Ptak
Used 9+ times
FREE Resource
5 Slides • 11 Questions
1
Quadratic Features
2
This is the graph of a quadratic function
In green, you see the vertex (highest or lowest point of the graph)
In red, you see the x-intercepts. A graph doesn't always have x-intercepts.
Write down the coordinates for each on paper
3
Multiple Choice
What are the coordinates of the vertex?
4
Multiple Select
What are the coordinates of the x-intercepts? (choose all that apply)
5
The graph of a quadratic function is split into two halves
There is an axis of symmetry at x = h (the x-value of the vertex)
6
Multiple Choice
7
This is the parent function of any quadratic graph
Its vertex is the LOWEST point, at (0,0)
It only has one x-intercept, also at (0,0)
8
If we analyze its transformations...
there is no negative sign in front of the parentheses, so it is not flipped
a=1, so it is not stretched or compressed
h=0 so it does not shift left/right
k=0 so it does not shift up/down
9
Multiple Choice
10
Multiple Choice
In red, you see the parent function,
In blue, you see the transformation How does the negative sign transform the red graph?11
Multiple Choice
In red, you see the parent function,
In blue, you see the transformation How does a = 2 transform the red graph?12
Multiple Choice
In red, you see the parent function,
In blue, you see the transformation How does a = 2 transform the red graph?13
Multiple Choice
In red, you see the parent function,
In blue, you see the transformation How does h=3 transform the red graph?14
Multiple Choice
In red, you see the parent function,
In blue, you see the transformation How does k=4 transform the red graph?15
Multiple Choice
In red, you see the parent function,
In blue, you see the transformation What are ALL the transformations of the red graph?16
Poll
Quadratic Features
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