1) left 2, down 3
The function is,
Here, the parent function is square root function.
So, Let be the parent function.
Now, in order to transform to , first, we need to add 2 to x and is given by the rule:
. From the transformation rules, if a positive number is added to x, then the graph shifts left.
Hence, the graph of will shift left by 2 units.
Now, next we need to add -3 to to get the given function . The rule is given as:
As per transformation rules, if a negative number is added to the function, the graph shifts down.
Here, the graph of will shift down by 3 units.
Overall, the parent function can be transformed to by shifting the parent function graph 2 units left and 3 units down.
So, option 1 is correct.
1) left 2, down 3 <...