# Math Help - Absolute(y)

1. ## Absolute(y)

Does anyone know a piece of advice, how to draw graphs like

abs(y)=1-x^2?

thanks

2. Originally Posted by Schdero
Does anyone know a piece of advice, how to draw graphs like

abs(y)=1-x^2?

thanks
$|y|=1-x^2$ just meas that $y=1-x^2$ or $-y=1-x^2$.

Therefore you can just draw the graph of $y=1-x^2$, and then draw that graph again, but flipped around the x-axis (which changes the sign of the y-coordinates only).
Of course, the resulting figure is not the graph of a function, but it is the graph of a relation (between x and y).

3. Originally Posted by Schdero
Does anyone know a piece of advice, how to draw graphs like

abs(y)=1-x^2?

thanks
our function

$\left\{\begin{array}{cc} y=1-x^2 ,&\mbox y\geq 0 \\-y=1-x^2 ,&\mbox y<0 \end{array}\right.$

draw the two functions we have

4. Thank s to both!