Verified answer

Recall the definition of absolute value:

y = |x| = x if x >= 0,

= -x if x < 0.

So just replace "x" by "-x^2 + 1" in all of the above.

y = -x^2 + 1 if -x^2 + 1 >= 0,

= -(-x^2 + 1) if -x^2 + 1 < 0

You have to figure out what range of x corresponds to those conditions "if -x^2 + 1 < 0" and "if -x^2 + 1 >= 0".

Hi,

y = { x² - 1 if x < -1 and if x > 1

. . .{ -x² + 1 if -1 ≤ x ≤ 1

I hope that helps!! :-)