If S$($x$)=$ y $=4$x$^2-8$x $+$ c$11<=$x$<=2$y $=-5$x$^2+$ b$2$x $-272<=$x$<3$calculate the value of c$1$ assuming contiuity of y and y $($first derivative$)$ at x$=2$ between the two quadratic splines.a$)1$b$)-15$c$)17$d$)28$e$)0$f$)-2$g$)5$h$)9$j$)$ need more information