What does the graph y = - absolute value of X -4 look like.?

Thank you from a 68 hear old Grandfather trying to help his Grandson

It is always negative or 0

it is a straight line with slope of -1
It is -4 when x = 0
it is 0 when x = 4

To understand the graph of y = -|x| - 4, let's break it down step by step.

1. Start by considering the graph of y = |x|. This is a V-shaped graph that passes through the origin (0, 0) and is symmetric with respect to the y-axis. It represents all the positive values of x and their corresponding positive values of y.

2. Next, take the graph of y = |x| and multiply it by -1. This will reflect the graph across the x-axis, essentially flipping it upside down. Now, we have a V-shaped graph pointing downward.

3. Finally, take the graph y = -|x| and shift it downward by 4 units. The entire graph will be shifted vertically, moving every point on the graph down by four units.

So, the graph of y = -|x| - 4 is a V-shaped graph pointing downward, shifted downward by four units.

Here is a visual representation of the graph:

^
|
-2|
|
-4| /\
| / \
-6| / \
| / \
-8|/________\_______
| -4 -2 0 2 4 x

Note: The slant on the graph occurs due to the absolute value function. As x approaches positive or negative infinity, y approaches negative infinity, resulting in the slant shape of the V.