How does the graph of y = StartRoot x EndRoot + 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.

This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

Given:

The function of graph is .

Its parent square root function is .

By the parent function we have to obtain given function ,So,we have to add on both  sides 2,

f(x)+2 =

Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.

Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

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The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.