options a,b,c are the right answer.
a linear parent function is always represented as y = x
if we write this function in the form of y=mx+c
now if we plot a graph we will find these characteristics:
1) y intercept of the graph is zero so its a straight line passing through origin.
2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.
3) it's slope is one.