1. 8.2 Graphing 𝑦=𝑎 𝑥 2 +𝑐

2. What We Will Learn Graph quadratic functions in the form 𝑦=𝑎 𝑥 2 +𝑐
Finding zeros of a function

3. Needed Vocab
Zero of a function: an x intercept of the graph of a function

4. Exs. 1 and 2 Graphing 𝑦=𝑎 𝑥 2 +𝑐
Graph and compare to 𝑦= 𝑥 2
Graph 𝑦= 𝑥 2 −2
c moves graph up or down
Down 2 X Y -2 2 -1 1

5. Exs. 1 and 2 Continued Graph and compare to parent Graph 𝑦=4 𝑥 2 +1
Skinnier and up 1 X Y -2 17 -1 5 1 2

6. Finding Zeros of a Function
Find zero(s) of 𝑦= 𝑥 2 −1
Use graph calculator or simply look at a given graph
If given a graph, look for where crosses or touches x axis
Zeros at 1 and -1
If no graph given look at table on graph calc or use calculate function