75.0k views
3 votes
Suppose f (x) = x². Find the graph of

f(x - 2).
Click on the correct answer
2
3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4

Suppose f (x) = x². Find the graph of f(x - 2). Click on the correct answer 2 3 Click-example-1
User Kdog
by
5.1k points

1 Answer

5 votes

Answer: Graph 2

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola with the vertex at the origin. If we replace every x with x-2, then we shift the xy axis 2 units to the left, giving the illusion the parabola shifts 2 units to the right.

In short, going from y = x^2 to y = (x-2)^2 means we shift the curve 2 units to the right. This is shown in the second graph.

User Count Orlok
by
5.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.