If you are given the graph of h(x)=log6x. how could you graph m(x)=log6(x+3)
a. translate each point of the graph of h(x) 3 units up
b. translate each point of the graph of h(x) 3 units down.
c. translate each point of the graph of h(x) 3 units right.
d. translate each point of the graph of h(x) 3 units left.

We have been given the function

Now, we can see that in the transformed function  , we have added 3 in the x.

Whenever we add/subtract some constant in the x, then the function gets translated to either left or right.

We know that if f(x) is a parent function and if we add a constant c then the function gets shift to c unit left.

Therefore, the given graph will get shifted 3 units left.

D is the correct option.

Translate each point of the graph of h(x) 3 units left.

range is infinite on both x and y axis positive and negative

step-by-step explanation: