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Write equations in standard form from tables, grahs and mappings and lists of points

What is the equation of anabsolute function that has vertex (1,0)(1,0)  and passes through point (5,6)(5,6) ?

Consider the table 



Which of the following functions is most likely represented by the table?

Given the ordered pair (0,0),(±1,1),(±2,32,),(±3,243)(0,0),(\pm1,1),(\pm2,32,),(\pm3,243) , which function is likely represented?

Consider the table 



Which of the following functions is most likely represented by the table?

Given the ordered pair (0,1),(1,0),(2,7),(3,26)(0,-1),(1,0),(2,7),(3,26) , which function is likely represented?

Consider the table 



Which of the following functions is most likely represented by the table?

What is the equation of anabsolute function graph that has vertex (0,0)(0,0)  and passes through point (9,11)(9,11) ?

Given the ordered pair (0,7),(±1,8),(±2,9),(±3,10)(0,7),(\pm1,8),(\pm2,9),(\pm3,10) , which function is likely represented?

What is the equation of anabsolute function graph that has vertex (5,5)(5,5)  and passes through point (12,13)(12,13) ?

What is the equation of an absolute function graph that has vertex (1,10)(1,10)  and passes through point (4,11)(4,11) ?