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

[axolotl]

This explains it so well! Great video!

[chromazingmasterkey]

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

[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.

[AttiqRehman-tb]

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