What is the effect on the graph of f(x)=x^2 when it is transformed to h(x)=1/8x^2-13? a. the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right
b. the graph of f(x) is vertically compressed by a factor of 8and shifted 13 units down
c. the graph of f(x) is horizontally compressed by a factor of 8 and shifted 13 units down
d. the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right

please help!​

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.