How does the graph of #y=sqrt(x+3) 4# compare with #y=sqrtx#?
1 Answer
Please read the explanation.
Explanation:
Use the following data table to generate the graph:
Observe the graphs given below:

Graph of
#color(blue)(y=sqrt(x)# 
Graph of
#color(red)(y=sqrt(x+3)4#
The radical function:
The graph of the parent function starts at the origin
The graph increases gradually.
The general form of the radical function:
( i).
( ii),
(iii).
( iv).
( v).
( vi).
For our problem,
Since
Since
We can compare both the graphs (parent function and the function given) to comprehend the behavior of the parent graph and the graph of the corresponding radical function.
Data Table for the graph:
Graph:
Hope it helps.