I have the question what is the equation of the function in the form f(x) = 1/x-c for the function with a vertical asymptote at x=1? sketch the graph.

Question

I am uncertain how I plug this into a graphing calculator. Could I substitute 1 for x and then put an x in for c to input this into my graphing calculator?
I know this is a reciprocal graph and it will also be a linear line.

Answer 1

is it
y = 1/x - c , like you typed it, or
y = 1/(x-c)

comparing it to y = 1/x
for the first interpretation the graph of y = 1/x would simply be translated vertically by c
for the 2nd interpretation the graph of y = 1/x would be translated horizontally by -c , e.g
if y = 1/(x+2) is a shift of 2 to the left
if y = 1/(x-5) is a shift of 5 to the right