I need help on 5,6,7,please show work it's due before 4 thank you the chart is to answer the questions

Mr. Richardson, Math 2 (2C19), Explicit, Recursive, and Vertex Equations from Table, x-Intercepts using Quadratic Formula, Graphing, 12/16/2020 NAME: Period 1) x f(x) First Difference Second Difference 0 -7 1 3 2 17 3 35 4 57 5 83 6 113 1) Find the First and Second Difference. Show the work and answers above. 2) How would you know if the values in the table represent a Quadratic Equation: 3) Write the Explicit quadratic equation that corresponds to the Table. Show the work for credit. Standard/ Explicit Form of Quadratic Equation: f(x) = ax + bx + c 4) Using only the explicit quadratic equation that you got in number three, find f(12). Show the work for credit. Mr. Richardson, Math 2 (2C19), Explicit, Recursive, and Vertex Equations from Table, x-Intercepts using Quadratic Formula, Graphing, 12/16/2020 5) Write the Recursive quadratic equation that corresponds to the Table. Show the work for credit. Recursive Form: f(1) = _; f(x) = f(x - 1) + (mx + h) 6) Using only the Recursive quadratic equation that you got in number five, find f(7). Show the work for credit. 7) Write the Vertex Form of the quadratic equation that corresponds to the Table. Show the work for credit. Hint: Begin with your answer from number three. Vertex Form of Quadratic Equation: f(x) = a(x - h) + k and (/2)2