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
5.3k 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
5.2k points