Question

Name all transformations of the following function

Answer 1

Notice that the parent function of y is:

`f(x)=√(x).`

Now, recall that a function h(x) translated n units to the left is represented by:

`h(x+n),`

translated m units up :is represented by

`h(x)+m,`

reflected across the x-axis :is represented by

`-h(x),`

vertically compressed by a factor of 1/k :is represented by

`(1)/(k)h(x).`

Therefore, y is f(x) translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.

Answer:

y is its parent function translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.