Vertical Stretch or Compression on the Graph of an Absolute Value Equation

[@evelins6563]

You have no idea how much this helped me. So easy to understand ❤

[@malcolmrosebud4573]

This is very helpful and I greatly appreciate this! I do have one question though... How do you graph a function g(x) as a vertical stretch/compression of the parent function?

[@MathandStatsHelp]

You can plug in values. That's probably the easiest way. It depends on the parent function with how many points to pick.

[@mustafasharief5508]

Wouldn’t you multiply the x value too?

[@helix00]

This helped me extremely thanks

[@unknownplayer2615]

What about horizontal?

[@MathandStatsHelp]

Horizontal compression looks like a vertical stretch, and a horizontal stretch looks like a vertical compression. The value is inside the absolute value. For example, f(x)=|2x|, when I find f(1)=2. This would be a horizontal compression, because the graph is pushed in. If f(x)=|1/2x|, when I find f(1)=1/2, this would be a horizontal stretch, because the graph is pulled wider.

[@unknownplayer2615]

@@MathandStatsHelp thank you so much. Your a life saver

[@bobjermey4170]

Thank you so much!!

[@iwillbrb8723]

okay lets say i've got a function, f(x)=-3(x-2)^2 +1, is that a stretch or compression?! a is NEGATIVE it's not greater than 1 or between 1 and 0

[@MathandStatsHelp]

You would do the absolute value of -3. Since that is 3, it would be a stretch. The negative flips it over the x-axis. It doesn't have an impact on the stretch.

[@thatgamermatthew3168]

@@MathandStatsHelpi just had a question like this, thanks!

[@lauren1000]

Thank you!

[@MathandStatsHelp]

You're welcome!