Question

The graph of y= sqrt of x is transformed as shown in the graph below. Which equation represents the transformation function?

Graph and choices:

Answer 1

A

Explanation:

edge 2020

Answer 2

The equation that represents the transformation function is:

`y=-√(x)+2`

Explanation:

We are given a parent function f(x) as:

`f(x)=√(x)`

Now, this function f(x) is transformed to get a function whose graph is given.

Let the transformed function is: g(x)

Clearly by looking at the graph we observe that at x=4 we have:

g(x)=0

2)

`y=√(-x)+2`

at x=4 , we have:

`y=√(-4)+2`

As the term under the square root is negative hence, we will get the function's value as imaginary value and not real.

Hence, Option (2) is incorrect.

3)

`y=√(-x)-2`

at x=4 , we have:

`y=√(-4)-2`

As the term under the square root is negative hence, we will get the function's value as imaginary value and not real.

Hence, Option (3) is incorrect.

4)

`y=-√(x)-2`

at x=4 , we have:

`y=-√(4)-2\\\\y=-2-2\\\\y=-4\\eq 0`

Hence, option (4) is incorrect.

1)

`y=-√(x)+2`

at x=4 , we have:

`y=-√(4)+2\\\\y=-2+2\\\\y=0`

Hence, option (1) is the correct answer.