What is the vertex of the graph of gx x 8 6SolutionDear S

What is the vertex of the graph of g(x) = |x – 8| + 6?

Solution

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Given

g(x) = | x - 8 | + 6

=> g(x) = x - 8 + 6               x > 8

               8 - x + 6               x < 8

ie. g(x) = x - 2               x > 8

              14 - x              x < 8

At x = 8, g(8) = 6

Hecne the vertex of the graph has to the point (8,6).

Solution