Question

Identify the change in the parent function that will produce the related function shown as a dash line. f(x)= √ x

Answer 1

`g(x) = 2 + \sqrt x`

Translate the parent function, 2 units upward

Step-by-step explanation:

Given

`f(x) = \sqrt x`

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

`f(x) = \sqrt x`

Then g(x) is:

`g(x) = 2 + f(x)`

`g(x) = 2 + \sqrt x`