Question

Which graph represents the function f(x) = −|x − 2| − 1? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answer 1

The graph in the attached figure

Explanation:

we have

`f\left(x\right)=-\left|x-2\right|-1`

The function represents an inverted V-shaped graph

The vertex of the function is the point (2,-1)

The y-intercept of the function is the point (0,-3)

The domain is all real numbers -----> (-∞,∞)

The range is all real numbers less than or equal to -1 ----> (-∞,-1]

Using a graphing tool

The graph in the attached figure