The coordinate of the vertex is ( 7 ,4), the correct option is B.
An absolute value function is a function that gives positive value for a number or variable. It has a V shaped graph, it is also called as a modulus function.
The absolute function is y = | -x +7| +-4
The v shaped curve has a vertex and it can be determined by following method.
The value of the x coordinate is determined by equating the modulus to 0, the point at which the modulus is zero.
-x +7 = 0
Adding -7 to both sides.
-x = -7
x = 7
The value of y at this point is the y coordinate of the vertex.
y = 0 +4
y = 4
(x,y) = ( 7,4)
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