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Function Transformations: Tutorial
Part B
Open the graphing tool, and compare the functions using the sliders. What can be said about the domain of
y= VX - kand the domain of y = VX + k?

Therefore, domain of y = ; Domain = [k, ∞)

Domain of y = ; Domain = [0, ∞)

Step-by-step explanation:

Two functions are,

y =

and y =

Let the value of k = 1

Then we find the graph of the functions attached.

By analyzing these graphs,

y = when shifted 1 unit right and 1 unit down we get a new function,

y =

Therefore, domain of y = ; Domain = [1, ∞)

Domain of y = ; Domain = [0, ∞)

Similarly, domain of y =   ; Domain = [k, ∞)

And domain of y = √x + k ; Domain = [0, ∞)