Question

30 POINTS!!

How does the graph of y=(√x)+2 compare to the graph of the parent square root function? The graph is a horizontal shift of the parent function 2 units right. The graph is a horizontal shift of the parent function 2 units left. The graph is a vertical shift of the parent function 2 units up. The graph is a vertical shift of the parent function 2 units down.

Answer 1

The parent square root function has a starting point at the origin. In standard form that would look like this:
`y= √(x-0)+0`, where the number inside the radical with the x indicates side to side movement, and the number following either a + or a - indicates up or down movement. Our movement is up or down, since there is no number with the x under the radical. Because that is +2, our parent graph moves up to units from an original starting point of (0, 0) to a new one of (0, 2). Summary: the parent graph moves up 2 units, third choice above