Question

Which represents the graph

Answer 1

Answer: Choice C.   y = -|x-1| + 3

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Work Shown:

General form of absolute value equations

y = a|x-h| + k

The 'a' determines if the V shape is upside down or not. If a > 0, then we have a V shape that isn't upside down. If a < 0, then the V shape is upside down as this diagram shows. In this case, a = -1.

The (h,k) is the vertex of the graph. For upside down V shaped graphs, the vertex is the highest point, which is (1, 3) in this case.

(h,k) = (1,3)

h = 1 and k = 3

So,

y = a|x-h|+k

y = -1|x-1| + 3

y = -|x-1| + 3