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A) give the vertex and B) axis of symmetry of the graph for the equation given. C) then graph the equation, include a t-chartY= - 1/2|x-1| +3

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Answer:

A) Notice that the given function is the function absolute value translated 1 unit to the right, dilated by a factor of 1/2, reflected over the x-axis, and finally, translated two units up. Therefore


y=-(1)/(2)|x-1|+3

has a vertex with coordinates:


(1,3)\text{.}

B) Since the vertex is at (1,3), the graph has an axis of symmetry with equation:


x=1._{}

C) The t-chart and the graph of the equation are as follows:

A) give the vertex and B) axis of symmetry of the graph for the equation given. C-example-1
User Emkey
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