Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
Vertex: (2, 3).
Step-by-step explanation:
Definition of terms:
The general form of an absolute function is given by: y = a|x - h| + k, where:
| a | ⇒ Determines the vertical stretch or compression factor of the function.
(h, k) ⇒ Coordinates of the vertex, which is either the minimum or maximum point on the graph.
x = h ⇒ Axis of symmetry, which is the imaginary vertical line that splits the graph of the function into two symmetrical parts.
Explanation"
Given the absolute value function, y = |x - 2| + 3:
Based on the general form of absolute value functions described in the previous section of this post, y = a|x - h| + k:
We can assume that the value of "a" in the given absolute value function is 1, because if we distribute 1 into the terms inside the bars, "| |," the constant value of a = 1 will not change the value of those terms.
- However, there are other instances where there is a given value for "a," which could either "stretch" or "compress" the graph of the absolute value function. If the value of | a | > 1, then it represents the vertical stretch (the graph appears narrower than the parent graph of the absolute value function). In contrast, if the the value of "a" is 0 < | a | < 1, then it represents a vertical compression (the graph appears wider than the parent graph of the absolute value function).
In terms of the vertex, it occurs at point, (2, 3), where h = 2, and k = 3.
Therefore, the vertex of the given absolute value function is (2, 3).
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.