Answer:
[tex]g(x) = 2 + \sqrt x[/tex]
Translate the parent function, 2 units upward
Step-by-step explanation:
Given
[tex]f(x) = \sqrt x[/tex]
See attachment for the graph
Required
Determine the change in f(x) that gives the dashed line
Let the dash line be represented with g(x)
From the attachment, there is only one transformation from f(x) to the g(x).
When f(x) is translated 2 units vertically upwards
, it gives g(x); the dash line.
If
[tex]f(x) = \sqrt x[/tex]
Then g(x) is:
[tex]g(x) = 2 + f(x)[/tex]
[tex]g(x) = 2 + \sqrt x[/tex]
