Question

The graph of y=√x is transformed as shown in the graph below. Which equation represents the transformed

function?
(I can’t find the answer on here but it’s A you’re welcome)

Answer 1

The function is y = -√x + 2, this is a reflection over the x-axis followed by a translation of 2 units up.

Which is the transformation?

We know that the graph is a transformation of the parent function y=√x.

First, notice that the function is inverted vertically, so we have a reflection over the x-axis, which means that we must have:

y = -√x

Also, notice that when x =0, the function has a value of 2, so we also have a translation of 2 units up, then the function in the graph is:

y = -√x + 2