An object is located $01$ cm in front of a concave mirror. 

$($a$)$ If the focal length of the mirror is $2\mathrm{.}78$ cm$,$ find the location of the image. $($Give the distance $($cm$)$ between the mirror and the image. Give a positive value if the image is in front of the mirror and a negative value if the image is behind the mirror.$)$

$($b$)$ Find the magnification of the object.

 $($c$)$ Draw a ray diagram using the actual distances in this problem. Use an arrow $2$ cm tall for the object.