Answer:
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
Answer:
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.
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 [tex]\bold{y=\sqrt{x+2}}[/tex].
Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].
By the parent function we have to obtain given function ,So,we have to add on both sides 2,
f(x)+2 = [tex]\sqrt{x+2}[/tex]
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.
For further details, please refer this link:
https://brainly.com/question/12427224
