Question

Match the graph with its function by translating the graph of y = √x.

Answer 1

The correct answer is
`y = √(x) - 4`

Explanation:

We are given:

`y = √(x)`

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
`y = √(x) - 4`