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

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Respuesta :

Quadrant one is the answer you should select.

Answer: Quadrant I

Step-by-step explanation:

The standard equation of the absolute function is given by:

[tex]f(x)=|x-h|+k[/tex], where [tex](h,k)[/tex] is the vertex of the absolute function.

The given absolute function : [tex]f(x)=|x-2|+4[/tex]

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 .