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

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

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

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)

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

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

𝑓 𝑥 = 𝑥 2 −5 and 𝑔 𝑥 = 𝑥−4 2

Put it all Together Graph: 𝑓 𝑥 =−2 𝑥−1 2 +3

Exit Ticket Graph 𝑔 𝑥 =2 𝑥+2 2 −5

Assignment #14 Pp 199 #7, 8, 15, 27, 29, 35 Get on Canvas