Graph the function f(x)= -3 log5 (x-2) + 1 on the axes below. You must plot the asymptote and any two points with integer coordinates.

Question

Math graphing.

Answer 1

-3log5(x-2) +1

take log5(x) and reflect it over the x axis

stretch it by factor of 3

shift it right by 2

shift up by 1

asymptotes are x=2

and y =1

let x = 3, then -3log5(x-2)+1 = -3log5(1) +1=0+1 = 1

the point (3,1) is on the graph

let x = 7, then -3log5(5) +1 = -3+1 = -2

(7,-2) is on the graph