Graph this function:
y=|x|–6
Click to plot the vertex first.
The given function is y = |x| - 6.
To find the vertex of this absolute value function, we need to consider the different cases based on the value of x.
When x is positive or zero (x ≥ 0):
y = |x| - 6
When x is negative (x < 0):
y = -x - 6
By examining the equation, we can see that the graph of y = |x| - 6 is a V-shaped graph with its vertex at the point (0, -6).
Plotting the vertex (0, -6):
^
|
|
|
| *
|
|
(0,-6)------------------>