Question

The function Y = log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function? ly. LTI प 9 -3 -2 -11 च -E 7 6 it

Answer 1

If the function f(x) translated h units right and k units down, then its equation will be

g(x) = f(x - h) - k

Since the given function is

`y=\log (x)`

Since it is shifted 1 unit right and 2 units down, then

h = 1 and k = 2

By using the rule above, then the new equation is

`y=\log (x-1)-2`

The red graph represents y = log(x)

The blue graph represents y = log(x - 1) - 2

Let us find the correct answer

The graph should be like the blue graph

It is the 2nd figure you posted do you see it?