Question

Which of the following is the graph of y=|x-1|-4y=∣x−1∣−4y, equals, vertical bar, x, minus, 1, vertical bar, minus, 4?

Answer 1

The graph of given function is shown below.

Explanation:

The given function is

`y=|x-1|-4` .... (1)

The vertex form of a absolute function is

`y=a|x-h|+k` .... (2)

where, a is a constant and (h,k) is vertex.

On comparing (1) and (2), we get

`a=1,h=1,k=-4`

The vertex of the function is (1,-4). The table of values is

x y

3 -2

2 -3

1 -4

0 -3

-1 -2

Plot these points on a coordinate plane. Draw a V-shaped curve by connecting these points with vertex at (1,-4).

Answer 2

The graph of
y = |x -1| -4
is show here.