Section 6.5

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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 &amp; y = 3 √x. New: y =a √(x-h) + k &amp; y = a 3 √ (x – h) + k. Parent Function: y = √x. Domain: x &gt; 0 Range: y &gt; 0. Parent Function: y = 3 √x. Domain: all real numbers

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### 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
Parent Function: y = √x
• Domain: x > 0
• Range: y > 0
Parent Function: y = 3√x
• Domain: all real numbers
• Range: all real numbers

y =a √(x-h) + k & y = a3√(x – h) + k

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
EXs.
• 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: