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

What is the equation of a square root graph that has vertex (1,10)(1,10)  and a=12a=\frac{1}{2} ?

What is the equation of a square root graph that has vertex (5,5)(5,5)  and a=87a=\frac{8}{7} ?

Consider the table  :



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

What is the equation of a square root graph that has vertex (1,0)(1,0)  and a=32a=\frac{3}{2} ?

Consider the table :



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

What is the equation of a square root graph that has vertex (0,0)(0,0)  and a=119a=\frac{11}{9} ?

Given the ordered pair (0,1),(1,0),(8,1),(27,2)(0,-1),(1,0),(8,1),(27,2) , which function is likely represented?

Consider the table :




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

Given the ordered pair (0,0),(1,1),(32,2),(243,3)(0,0),(1,1),(32,2),(243,3) , which function is likely represented?

Given the ordered pair (0,7),(1,8),(32,9),(243,10)(0,7),(1,8),(32,9),(243,10) , which function is likely represented?