Graphing Radical Equations

2 ^{nd} point: move from (h, k) right "1" & up/down "a"y = a√(x-h) + k Square Rootopposite start point Graphing using a start point "center" and offset. same Graphing Radical Equations(h, k) 2 ^{nd} point: move from (h, k) right "1" & up/down "a"3 ^{rd} point: move from (h, k) left "1" & down/up "a"y = a∛(x-h) + k Cube Rootstart point opposite same *Since only positive numbers can be square rooted, graph has only 1 bend.Example: (h, k) = (0, 0) a = 1right 1 up 1 y = a√(x-h) + k Square RootGraphing Radical Equations*Since positive AND negative numbers can be cube rooted, graph has 2 bends.Graphing Radical EquationsExample: y = a∛(x-h) + k (h, k) = (0, 0) a = 1right 1 & up 1a = 1left 1 & down 1 Cube Root(h, k) = ( , ) Enter the start point: Enter the multiplier (value for a): Enter the movement: right up a = y = a√(x-h) + k Square RootGraphing Radical Equations1 1 Graphing Radical Equations2112(h, k) = ( , ) Enter the start point: Enter the multiplier (value for a): a = Enter the movements: right up ^{ }left - down - y = a∛(x-h) + k Cube RootLet's try square root functions. √ x* the green start point will be on the graph to help you identify the ordered pair. *Since only positive numberscan be square rooted, graphhas only 1 bend away from thestart point.if a > 0 bend is upif a < 0 bend is downy = a√(x-h) + k Square RootGraphing Radical EquationsA C D B y = a√(x-h) + k Square RootA C Graphing Radical EquationsB D y = a√(x-h) + k Square RootC A Graphing Radical EquationsD B y = a√(x-h) + k Square RootC A Graphing Radical EquationsD B y = a√(x-h) + k Square RootC A Graphing Radical EquationsD B y = a√(x-h) + k Square RootC Graphing Radical EquationsA D B y = a√(x-h) + k Square RootC Graphing Radical EquationsA D B y = a√(x-h) + k Square RootC Graphing Radical EquationsA D B Let's try cube root functions. * the green start point will be on the graph to help you identify the ordered pair. ∛ x*Since positive AND negativenumbers can be square rooted,graph has 2 bends away fromthe start point.if a > 0 bend is up/right & down/leftif a < 0 bend is down/right & up/lefty = a∛(x-h) + k Cube RootC Graphing Radical EquationsA D B y = a∛(x-h) + k Cube RootC Graphing Radical EquationsA D B y = a∛(x-h) + k Cube RootC Graphing Radical EquationsA D B y = a∛(x-h) + k Cube RootC Graphing Radical EquationsA B D y = a∛(x-h) + k Cube RootGraphing Radical EquationsC A D B y = a∛(x-h) + k Cube RootGraphing Radical EquationsC A D B y = a∛(x-h) + k Cube RootGraphing Radical EquationsA C D B y = a∛(x-h) + k Cube RootGraphing Radical EquationsA C D B √x √x √x ∛x ∛x ∛x ∛x √x A combination of square and cube root problems ∛x √x ∛x √x ∛x Graphing√x √x √x √x ∛x ∛x ∛x ∛x Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B C A Graphing Radical EquationsD B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsC A D B Graphing Radical EquationsA C D B |

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