SOLUTION: how do you graph {{{y=-4abs{x+4)-3}}}?

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Question 246214: how do you graph y=-4abs%7Bx%2B4%29-3?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

To draw the graph of

y=A%2Aabs%28Bx%2BC%29+%2B+D

1.  The graph is always a V-shaped graph, either
an upright V or an upside-down V. It will be right-side
up if A, the coefficient, written or understood, of the 
absolute value is positive and upside-down if it is 
negative.

2. Find the x-coordinate of the vertex (the "sharp point" 
of the V) by setting the expression within the absolute 
value bars, Bx%2BC+=+0.

3. The y-coordinate of the vertex is D. 

4. Find two other points, one on each side of the vertex.

5. Draw the graph.

----------------------

For your problem:

y=-4abs%28x%2B4%29-3

1.  The graph is an upside-down V since -4 is negative.

2.  x+%2B+4+=+0, so x+=+-4 is the x-coordinate of
the vertex. (sharp point of the upside down V).

3,  The y-coordinate of the vertex is -3, so the vertex is (-4,-3).

4.  Substituting x=-5 and x=-3 in y=-4abs%28x%2B4%29-3
both give y=-7. So two other points are (-5,-7) and (-3,7).

5.

graph%28246%2C400%2C-6%2C+2%2C+-10%2C3%2C-4abs%28x%2B4%29-3%29
    
Edwin