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7-8 Graphing Radical Functions

7-8 Graphing Radical Functions. (Half-Graphs). A radical equation defines a radical function. f(x) = √x. Translations: Vertical: The graph of the radical function y = √x +k is a translation of y = √x up k units if k is positive and down if k is negative. Ex: y = √x +2

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7-8 Graphing Radical Functions

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  1. 7-8 Graphing Radical Functions (Half-Graphs)

  2. A radical equation defines a radical function. f(x) = √x

  3. Translations: Vertical: The graph of the radical function y = √x +k is a translation of y = √x up k units if k is positive and down if k is negative. Ex: y = √x +2 Graph

  4. Horizontal Translations: The graph of y = √(x –h) is a translation of y = √x shifted h units to the right if h is positive and h units to the left if h is negative. (You always do the opposite) Ex. y = √(x-2)

  5. The graph of y = a√x is a vertical stretch or compression of the graph of y = √x by a factor of a. If a<0, the graph is a reflection across the x axis. Ex. y = -√x

  6. Two new Parent Functions y = x3 and y = 3 √x

  7. The translations work the same way. Opposite if in the x direction, the same if in the y direction. You need to memorize these!!! Graph: y= 3 √(x+5) and y = 3 √x +5

  8. Hw pg 411 9-43 odd not 23

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