Describe how the transformed function below is obtained from its parent function. y=x^2 4
a. the parent function y=x^2 is shifted 4 units to the left.
b. the parent function y=x^2 is shifted 4 units to the right.
c. the parent function y = x is shifted 4 units to the left.
d. the parent function y= x^2 is shifted 4 units up.

Note: enter your answer and show all the steps that you use to solve this problem in the space provided. x − 2 − 1 0 1 2 y use the function rule to complete the table. − 10 x + y = 4

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.

The diameter of a bacteria colony that doubles every hour is represented by the graph below. what is the diameter of the bacteria after 8 hours? graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight