8.2 Graphing 𝑦=𝑎 𝑥 2 +𝑐

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

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

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

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

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