Transformations of Square Root and Cube Root Functions

This is a follow-up video to graphing basic square root and cube root functions. Armed with the knowledge of what happens when functions are transformed (we talked about this with vertex form of parabolas) and knowing the basic square root and cube root graphs we graph the transformations. We shift (translate) the graph up/down, left/right, and stretch the graph vertically, and reflect the function if there's a negative out front. Happy graphing!

Category:

Education

Tags:

• Square
• Cube
• Root
• Function
• Transformations
• Translations
• Shift
• Graph
• Algebra
• Stretch
• Reflect

[singinpotato]

:D

[davidtutorsmath]

@singinpotato :-) 

[isitintherain]

This was helpful but I really wish you had shown the parent tables too, it would have been easier to see the transformations? Thank you anyway!

[davidtutorsmath]

@isitintherain You're welcome. I should rename the both of these videos.  I have a video titled basic graphs of square roots and cube roots that contains the parent tables.

[xStrikee]

Thanks braa

[davidtutorsmath]

@xStrikee You're welcome.

[davidtutorsmath]

@Mikeyslilsista14 A negative in front of the cube root flips the function vertically (up and down). What was negative is now positive and was positive is now negative (in regards to the y). So instead of increasing slowly like the regular cube root graph does (#2), it decreases slowly.

[davidtutorsmath]

@zaneanator You're welcome.

[zaneanator]

Thank youu.



[davidtutorsmath]

@dgak45 The y-intercept is ~ -2.884. You can always find the y-intercept by plugging in 0 for x. Because x=0 or (0,?) is always what the coordinate looks like as it's crossing the y-axis. Just plug and chug as some call it.