High School

The graph of \( y = x \) is transformed as shown in the graph below. Which equation represents the transformed function?

Answer :

The equation that represents the graph is y = -f(x) + 2

How to determine the equation that represents the graph

From the question, we have the following parameters that can be used in our computation:

[tex]f(x) = \sqrt x[/tex]

This is the parent of the graphed function

First, the function is reflected across the y-axis

So, we have

[tex]f(x) = -\sqrt x[/tex]

Next, it is shifted up by 2 units

So, we have

[tex]f(x) = -\sqrt x + 2[/tex]

This means that the new function is y = -f(x) + 2

Question

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