Alpha Filter

The following code is one implementation of an alpha filter:

float alphaFilter$($float y$)\{$

$$float alpha $=0\mathrm{.}6$;

$$static float z $=0$;

$$z $=$ alpha$*$z $+(1-$alpha$)*$y;

$$return z;

$\}$

$46.$

Given the samples:

y$1=10,$y$2=54,$y$3=11$

What will the alpha filter output after each sequential input?

y$1$

$$

y$2$

$$

y$3$

$$