Match the graph with its function by translating the graph of y = √x.
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Answer:
The correct answer is [tex]y = \sqrt{x} - 4[/tex]
Step-by-step explanation:
We are given:
[tex]y = \sqrt{x}[/tex]
The domain of the function is [0, infinity).
In the graph:
The domain(values of x), is still [0, infinity). Thus, there was no change in the domain, which rules out the first and the third option.
Change:
The change in the graph is that the function starts 4 units down(sqrt(0) = 0, in the graph when x = 0, y = -4). That is, 4 is subtracted from the function, and thus the correct answer is [tex]y = \sqrt{x} - 4[/tex]