Answer
please see image
.
Work Step by Step
1. Parent function $y =f(x)=\left\{\begin{array}{ll}
x, & x < 0\\
x^{2}, & x\geq 0
\end{array}\right.$
( Create a table with a selection of values for x,
arriving at ordered pairs (x,f(x)).
Plot them and connect,
to the left is a straight line, and to the right, a parabola)
2. $y=f(x)+1$
Shift the graph 1 unit upward.
Use the table (x,f(x)) to plot the points
$(x, \ \ f(x)+1)$
and join )
