Which of the following are characteristics of the graph of the linear parent function?
Check all that apply.
A. It goes through the origin.
B. It is a straight line.
C. It has a slope of 1.
D. It is in quadrants II and IV.

A, B, C

Step-by-step explanation:

The parent function of a linear equation is

y=x

where the y intercept is at the origin therefore A applies

linear lines are straight lines

and the slope of the equation is 1 since we can assume the coefficient before the x in the equation =1

It is NOT choice D because if  this would mean that the equation of the parent function has a negative slope which is not true

hope this helps

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)