We want to see how the graph of the parent function compares to the graph of the transformed function.
The transformed function is a reflection across the x-axis, followed by a translation of 6 units to the right, followed by a vertical dilation of scale factor 3 of the parent function.
The parent function is y = √x
The transformed function is y = -3*√(x - 6)
So there are 3 transformations applied to the parent function, let's describe these generally.
Reflection across the x-axis:
For a function f(x), a reflection across the x-axis just changes the sign:
g(x) = -f(x).
Horizontal shift:
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
Vertical dilation:
For a function f(x), a vertical dilation of scale factor K is written as:
g(x) = K*f(x)
Then from the parent function to the transformed function, we have:
A reflection across the x-axis, followed by a translation of 6 units to the right, followed by a vertical dilation of scale factor 3.
If you want to learn more, you can read:
https://brainly.com/question/19046248
