Question

How do you find the vertex of y = |2x - 4| + 1?

Answer 1

Vertex is at `(2,1)`

Explanation:

`y= |2 x-4| +1`

`f(x) = |2 x-4|`

`2 x -4 =0 or 2 x = 4 or x=2`

When, `x =2 , y= |2 *2 -4| +1 =1`

Therefore vertex is at `(2,1)`

graph{y= abs(2 x-4)+1 [-10, 10, -5, 5]} [Ans]