Question

Identify the change in the parent function that will produce the related function shown as a dashed line

Answer 1

Translate 2 units upward

`g(x) = √(x) + 2`

Explanation:

See attachment for the functions

`f(x) = \sqrt x`

Required

Determine the change in f(x) that gives the dashed line

From the attachment, there is only one transformation from f(x) to the dashed line.

The transformation is a translation of 2 units, upward.

Let the dashed line be g(x)

g(x) will be:

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

Substitute
`\sqrt x` for f(x)

`g(x) = √(x) + 2`