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

Question

asked Mar 6, 2018 225k views

2 Answers

Madcrazydrumma · Answer 1 · 2018-03-12T09:22:09+0000

Answer:

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.