Please help me find the vertex… i’m not sure with my answer and need an explanation

Question

asked Jun 14, 2023 138k views

1 Answer

Sudhanshu Gupta · Answer 1 · 2023-06-18T01:48:50+0000

The vertex of y = 1/2 |2x -6| + 1 is (3,1)

Step-by-step explanation

We can write the given function as:

$y\text + 1$

Given an absolute value function y = a |x - h| + k, the vertex is (h, k)

This implies that the vertex has been shifted h units to the right. By comparing the rewriting equation with the standard,

The vertex of:

$y\text =$

is (3, 1)

Answer: (3,1) option B