The document describes the transformations of the function f(x) = -2 sqrt(x - 1) + 12 based on its parent function sqrt(x). The four transformations include a horizontal shift of 1 unit right, a vertical shift of 12 units upward, a reflection across the x-axis, and a vertical stretch by a factor of 2. Each transformation component is identified with respect to the toolkit function.

1. Describe the transformation that has taken place with the function:
with regard to its toolkit function. Name each component of the transformation, as well as the
toolkit function.
Solution
f(x) = - 2 sqrt ( x- 1) + 12
parent function is sqrt x
so , there are 4 transformations in parent function
first transformation horizontal shifting of 1 unit right
2nd transformation is 12 units shifted vertically upwards
3rd transformation reflection across x axis
4th transformation vertically stretched by a factor of 2