Curve Sketching? (1 Viewer)

[.ben]

|y|=|f(|x|)|?

They taught me how to do the absolute values on separate sides e.g like |y|=f(x) and y=f(|x|) but not a combination of all three. can anyone help? thanks.

 

[haboozin]

|y|=|f(|x|)|?

They taught me how to do the absolute values on separate sides e.g like |y|=f(x) and y=f(|x|) but not a combination of all three. can anyone help? thanks.

i dont think this makes a difference.

its just y = |f(|x)|)|

first RHS is mirrored to the LHS and then the bottom side is mirrored to the top with the top staying there... haha sorry crap at explaining, but u said u know how to do |y| and f(|x|) anyways.

 

[VivianHsu]

1. Draw y=f(x) on the right-half of the coordinate axis (quadrants 1 and 4)
2. Flip everything below x-axis to above (like when you draw y=|(x-1)^2 - 1|), giving you a curve in the first quadrant only
3. Mirror it to the bottom
4. Mirror the new curve to the left

(As a check... the curve in each of the 4 quadrants must look "identical")

Explanation of steps:
1. Draw y=f(x) with x>=0 only
2. Draw y=|f(x)| with x>=0 only
3. Draw |y|=|f(x)| with x>=0 only
4. Mirror it about y-axis to get |y|=|f(|x|)|

 

[.ben]

ok cool thanks!