229k views
2 votes
Describe the transformation in the graph of g(x) = x +5 as it relates to the graph of f(x) = x.

User Phi
by
8.7k points

1 Answer

0 votes

Answer:

Explanation:

The graph of g(x) = x + 5 is obtained from the graph of f(x) = x through a transformation. In this case, the transformation is a vertical shift. To understand this, let's look at the graph of f(x) = x. This is a straight line that passes through the origin (0, 0) and has a slope of 1. When we add 5 to the function, we are shifting the graph vertically upward by 5 units. This means that every point on the graph of f(x) = x will be shifted upward by 5 units to get the graph of g(x) = x + 5. For example, if we take the point (2, 2) on the graph of f(x) = x, the corresponding point on the graph of g(x) = x + 5 will be (2, 7). Similarly, if we take the point (4, 4) on the graph of f(x) = x, the corresponding point on the graph of g(x) = x + 5 will be (4, 9). So, in summary, the graph of g(x) = x + 5 is obtained from the graph of f(x) = x by shifting every point on the graph vertically upward by 5 units.

User Bob Mason
by
7.5k 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