To draw the graph of
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,
.
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.
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For your problem:
1. The graph is an upside-down V since
is negative.
2.
, so
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
and
in
both give y=-7. So two other points are (-5,-7) and (-3,7).
5.
Edwin