top of page
image.png
image.png
image.png

The parent function f(x) has

a square root function with a domain of x greater than or equal to 0

and a range of y greater than or equal to 0

First, what do we know about f(x)?

Now look at the changes that g(x) introduces into the graph.

Inside the square root we have a subtraction of 5, which will shift the graph horizontally to the right

image.png

Applying (1/4) outside the square root causes the graph to compress by a factor of 4

image.png

Subtraction of 2 outside the square root shifts the graph vertically 2 units down

image.png

​

​

The summarized answer:

​

g(x) is obtained by shifting f(x) 5 units to the right, vertically compressing f(x) by a factor of 4, and then shifting it 2 units down

image.png
image.png
bottom of page