Horizontal Shift of Functions Explanation NOBODY Explains

A horizontal shift of a function occurs when a constant is added or subtracted within the input location (where you enter your values into your variable on the right hand side of a function).
The rules for how much you shift a function horizontally and the direction you shift a function sometimes feel out of thin air.
This video attempts to provide some context for the rules that students normally commit to memory for horizontal shifts.
0:00 Introduction
0:06 Usual rules for horizontal shifts
0:22 Introduction to shifting approach
0:59 Horizontal shift of x^2 example
3:01 Horizontal shift of absolute value function
4:14 When x is multiplied by a constant in the input
4:34 Revisiting the rules from the beginning of the video
5:13 Identifying a horizontal shift in a function with more than one shift and scaling factors
#horizontalshift
#functiontranslation
#JoeCMath

[@JoeCMath]

Example starts:
0:59 Horizontal shift of x^2
3:01 Horizontal shift of absolute value
5:13 Identifying horizontal shift quickly

[@axolotl522]

This explains it so well! Great video!

[@JoeCMath]

Glad you think so! 😁

[@chromazingmasterkey927]

you just saved my life! good video, keep it up man

[@JoeCMath]

Thanks! Hope your class goes well!

[@alephnone]

thanks for the video. I try to look at it as: How much does the shifted parabola's x coordinate have to be changed in order to line up with the standard position.

[@JoeCMath]

Love your comment! I think it is a beautiful thing when we have slightly different approaches in thought process or execution to problems! Thanks for sharing, you made my day 😁

[@3b1baimer]

Good one

[@JoeCMath]

Thanks! Nice profile pic and name!

[@user-xl7gf4qo3b]

can we say that for x intercept we have to put f(x) or y value equal to zero for instead of putting input equal to zero

[@JoeCMath]

For any base functions that goes through the origin, yes. Luckily most do!