Question

If you are given the graph of h(x) = logex, how could you graph m(x) = log. (X+3)?
Translate each point of the graph of h(x) 3 units up.
Translate each point of the graph of h(x) 3 units down.
Translate each point of the graph of h(x) 3 units right.
Translate each point of the graph of h(x) 3 units left.

Answer 1

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

Step-by-step explanation:

We have, $h(x) = Logx$ , In order to convert this h(x) into m(x) i.e. $Log(x+3)$ .

Basically , graph transformation, or graph rewriting, concerns the technique of creating a new graph out of an original graph algorithmically.  Here we follow set of instructions ,as shifting complete graph by 3 units in right side of graph i.e. shifting graph in 3 units at x-axis . On doing so graph h(x) will shift to 3 units on x-axis and New graph equation becomes $Log(x+3)$ . This is the required graph and so correct answer is C. Translate each point of the graph of h(x) 3 units right.