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# Section 6.5 - PowerPoint PPT Presentation

Section 6.5. Graph Square Root and Cube Root Functions. Radical Functions. Review: y = √x & y = 3 √x. New: y =a √(x-h) + k & y = a 3 √ (x – h) + k. Parent Function: y = √x. Domain: x > 0 Range: y > 0. Parent Function: y = 3 √x. Domain: all real numbers

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## PowerPoint Slideshow about 'Section 6.5' - hastin

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Presentation Transcript

### Section 6.5

Graph Square Root and

Cube Root Functions

• Review:

• y = √x & y = 3√x

• New:

• y =a √(x-h) + k & y = a3 √(x – h) + k

• Domain: x > 0

• Range: y > 0

• Domain: all real numbers

• Range: all real numbers

Translations and Shifts

• a & k change the y-value

• Take the original y-value

• a(y) + k

• h changes the x-value

• Take the original x-value

• x + h

• y = 2 √x + 2

• Change the y:

• Double it and add 2

• y = -1 √(x – 1) – 3

• Change the y:

• Take the opposite and subtract 3

• Change the x:

• Points of Importance: y = 3√x

• Now Plot!

Ex. y = -33√(x + 7) - 6

• Label the parent and translation.

• Make the parent graph be the dashed curve.

• Show the table of values.

• 449

• A:3,7,11,17,19,29,41,43

• B:6,10,16,32,44,47

• C:5,15,19,20,30,50