Graphing Quadratic functions
Recall the standard form of a quadratic function: 𝑓(𝑥) = 𝑎𝑥 2 + 𝑏𝑥 + 𝑐
Recall the vertex form of a quadratic function: (𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘)
ℎ=
−𝑏
2𝑎
, 𝑘 = 𝑓(ℎ)
Write the following equation in vertex form:
𝑓(𝑥) = 3𝑥 2 − 6𝑥 + 12
Write out the equation in vertex form for the following graph: