# Section 6.5 - PowerPoint PPT Presentation

1 / 13

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

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Section 6.5

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

## 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:

• ### Points of Importance: y = √x

Points of Importance: y = 3√x

• Now Plot!

### Note:

• Label the parent and translation.

• Make the parent graph be the dashed curve.

• Show the table of values.