1. Entry Task
What do each of the transformations due to the graph: A H K

2. Quadratic Functions and Transformations
Learning Target
Success Criteria
Identify and graph quadratic functions
I can identify and graph quadratic functions using a, h, and k

3. Definitions What do we call the graph of quadratic function
Parabola
What do you know about this function:
𝑓 𝑥 =𝑎 𝑥−ℎ 2 +𝑘
𝑎 stretch/compress
ℎ horizontal shift
𝑘 vertical shift

4. Lets Graph Lets graph the parent function 𝑦= 𝑥 2 What do you notice?
Patterns?
1, 3, 5, 7, 9, …
Axis of Symmetry?
𝑥=0
Vertex?
(0,0)

5. 𝑦= 1 2 𝑥 2
Axis of Symmetry?
𝑥=0
Vertex?
(0,0)

6. 𝑦= 𝑥 2 verses 𝑦=− 𝑥 2 Maximum vs. Minimum
The lowest value (the vertex)
The highest value (the vertex)

7. 𝑓 𝑥 = 𝑥 2 −5 and 𝑔 𝑥 = 𝑥−4 2

8. Put it all Together
Graph:
𝑓 𝑥 =−2 𝑥−

9. Exit Ticket
Graph
𝑔 𝑥 =2 𝑥+2 2 −5

10. Assignment #14
Pp 199 #7, 8, 15, 27, 29, 35
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