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2nd point: move from (h, k) right "1" & up/down "a" y = a√(x-h) + k Square Root opposite start point Graphing using a start point "center" and offset. same Graphing Radical Equations (h, k) 2nd point: move from (h, k) right "1" & up/down "a" 3rd point: move from (h, k) left "1" & down/up "a" y = a∛(x-h) + k Cube Root start 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 Root Graphing Radical Equations *Since positive AND negative numbers can be cube rooted, graph has 2 bends. Graphing Radical Equations Example: 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 Root Graphing Radical Equations 1 1 Graphing Radical Equations 2 1 1 2 (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 Root Let'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 down y = a√(x-h) + k Square Root Graphing Radical Equations A C D B y = a√(x-h) + k Square Root A C Graphing Radical Equations B D y = a√(x-h) + k Square Root C A Graphing Radical Equations D B y = a√(x-h) + k Square Root C A Graphing Radical Equations D B y = a√(x-h) + k Square Root C A Graphing Radical Equations D B y = a√(x-h) + k Square Root C Graphing Radical Equations A D B y = a√(x-h) + k Square Root C Graphing Radical Equations A D B y = a√(x-h) + k Square Root C Graphing Radical Equations A 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/left y = a∛(x-h) + k Cube Root C Graphing Radical Equations A D B y = a∛(x-h) + k Cube Root C Graphing Radical Equations A D B y = a∛(x-h) + k Cube Root C Graphing Radical Equations A D B y = a∛(x-h) + k Cube Root C Graphing Radical Equations A B D y = a∛(x-h) + k Cube Root Graphing Radical Equations C A D B y = a∛(x-h) + k Cube Root Graphing Radical Equations C A D B y = a∛(x-h) + k Cube Root Graphing Radical Equations A C D B y = a∛(x-h) + k Cube Root Graphing Radical Equations A 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 Equations C A D B Graphing Radical Equations C A D B C A Graphing Radical Equations D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations C A D B Graphing Radical Equations A C D B |