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Date:__________________
ConversionBetweenQuadraticFunctionForms
%
StandardForm:𝑦 = 𝑎𝑥 + 𝑏𝑥 + 𝑐
VertexForm:𝑦 = 𝑎(𝑥 − ℎ)% + 𝑘
InterceptForm:𝑦 = 𝑎(𝑥 − 𝑝)(𝑥 − 𝑞)
Standardformtovertexformmethod:completingthesquare
Standardformtointerceptformmethod:factoring,discriminantformula
1. Convertthefollowingequationtovertexformandstandardform:
𝑦 = 𝑥 % − 3𝑥 − 18
2. Convertthefollowingequationtovertexformandstandardform:
𝑦 = 𝑥 % − 11𝑥 + 18
3. Convertthefollowingequationtovertexformandstandardform:
𝑦 = 3𝑥 % − 2𝑥 + 5
Name:_______________
Date:__________________