123,006 views
11 votes
11 votes
The graphs below have the same shape. What is the equation of the blue

graph?

g(x) =______

A. g(x) = x2 + 2
B. g(x) = (x - 2)2
C. g(x) = (x + 2)2
O D. g(x) = x2 - 2

The graphs below have the same shape. What is the equation of the blue graph? g(x-example-1
User Kevinyu
by
2.6k points

2 Answers

23 votes
23 votes

Answer: The answer is b.

User ILearn
by
3.2k points
28 votes
28 votes

Answer:

  • B. g(x) = (x - 2)²

Explanation:

This is about transformations.

The blue graph is a translation of the red one 2 units right.

This is shown as:

  • g(x) → f(x - 2)

Considering the red graph is:

  • f(x) = x²

The blue graph is:

  • g(x) = f(x - 2) = (x - 2)²

Correct choice is B

User Brian Agnew
by
3.1k points