Question

y = log3(x - 3) + 3 how do I graph this

Answer 1

reflect the graph \(\large y=3^x \) over the line y=x then translate that result 3 units vertically upwards and 3 units horizontally to the right.

Answer 2

Rewrite the equation as,

y-3 = log3 (x-3)... then the graph is the same as, log3 (x) .. but shifted 3 units to right and 3 units upwards....

[ any graph of y-k=f(x-h) is ... h units right and k units up w.r.t graph of y=f(x)]... now the graph of log3 (x) is as



:Now shift the graph by 3 units to right and 3 units up