write an equation for a rational function that has a vertical asymptote of -4, a horizontal asymptote of 3, and vertically shrinks the graph by a factor of 5 (compared to the graph of y=1/x).

So far I have Y=3x/x+4 but I can't figure out how to shrink the graph by 5.

1 answer

if you have y = 3x(x+4), then shrink it by multiplying by 1/5

y = 3x / 5(x+4)

since 1/(5x) is shrunk compared to 1/x