120k views
0 votes
Consider the following function.

f(x) = √x - 2
Which of the following graphs corresponds to the given function?

Consider the following function. f(x) = √x - 2 Which of the following graphs corresponds-example-1
User Docsteer
by
6.6k points

2 Answers

3 votes
The letter z is the correct answer
User Leyvi
by
7.6k points
6 votes

Answer:

Graph Z

Explanation:

The radical parent function is


g(x)=√(x)

The given function is


f(x)=√(x-2)


f(x)=g(x-2) .... (1)

The translation is defined as


f(x)=g(x+a) .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

From (1) and (2) we get


a=-2

The value of a is negative so the graph of parent function shifts 2 units right.

Therefore, the graph Z represents the given function.

Consider the following function. f(x) = √x - 2 Which of the following graphs corresponds-example-1
User Arial
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories