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The parent square root function, f, is transformed to create function g. g(x)= square root of x-2+1 which statement best describes the transformation?
A. The graph of f is translated 2 units to the left and 1 unit up.
B. The graph of f is translated 1 unit to the right and 2 units down.
C. The graph of f is translated 2 units to the right and 1 unit up.
D. The graph of f is translated 1 unit to the left and 2 units up.

Respuesta :

answer is A

Step-by-step explanation:

The graph is translated 2units to the left and 1 unit up.

What is transformation of graph?

" Transformation of a graph is defined as the changes in the shape of the coordinate plane of the given function by rotation , reflection and translation. Translation is rigid movement in the parent graph either vertically or horizontally."

According to the question,

Parent square function f(x) is transformed to create a new function g(x) .

f(x) = √x

g(x) = √x-2+1

As we can see x is shift by x-2 which explains graph is translate 2 units to the left.

(x-2+1) :  +1 is representing 1 unit up.

Hence, we conclude that Option(A) is the correct answer.

Learn more about transformation of graph here.

https://brainly.com/question/10059147

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