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Staceyy
how do you graph this function?please show work! g(x)=5|x-4|+2
There could be a little trick to this but I havent done one like this in a loong time. Start with g(x) = abs(x) You know what that graph looks like Then make the transformation to g(x) = abs(x - 4) and keep going until you got your whole function
That's the best way to do it, imho.
I'm sorry, can you explain it a little more thoroughly Walleye?
Do you know what the graph of\[f(x)=|x|\]looks like?
What would happen to that graph if we do this\[f(x)=|x-4|\]
it would move over 4 to the right, right?
Thanks Across, you seem to be very good in math :D
That's correct! Now, what would happen to it if we multiply it by five like this\[f(x)=5|x-4|\]
Aww thank you Walleye :)
I'm not really sure :( sry. i know that the graph is going to move up 2 tho, right?
It is almost the same thing as multiplying\[f(x)=x\]by 5\[f(x)=5x.\]The slope of the line gets "steeper." :)
If i may, think of the function f(x) = x and f(x) = 5x What happens when you mutiply f(x) = x by 5??
so then it does down 5?
No, the graph gets "steeper" like this (see attached).
Finally, I'm sure you already knows what will happen to the graph if we add two to it\[f(x)=5|x-4|+2\]
Try graphing all of these functions yourself and you will get a feel for how these transformations affect the function
I got it! Thank you guys so much :) I appreciate it!
No problem!!! Practicing problems like these can be a bore but soon enough you will get good enough to see most any function and know what it looks like right away!!
Lol! it's true, they are a bore :) thanks again!