Describe the transformation that has taken place with the fu

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