Given the function, f(x)= √ x+2-3 choose the correct transformation

1) left 2, down 3
2) left 2, up 3
3) right 2, down 3
4) right 2, up 3

1) left 2, down 3

Step-by-step explanation:

Given:

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.

2

step-by-step explanation: