Question

The function, f(x) = |x - 2| + 4 has a vertex that is located in which quadrant?

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answer 1

Quadrant one is the answer you should select.

Answer 2

Answer: Quadrant I

Explanation:

The standard equation of the absolute function is given by:

`f(x)=|x-h|+k`, where
`(h,k)` is the vertex of the absolute function.

The given absolute function :
`f(x)=|x-2|+4`

Comparing to the standard absolute function, the vertex of the given absolute function = (2,4)

Since both the coordinates of the vertex is positive, therefore the vertex lies in Quadrant I .