a small explanation for every step would be appreciate it thank you

Show your work (1) 5 :1: ~~ 3:1: Consider the fUF'lCtiOl'l H(33) = m $ ,._.. a) Determine if the function is even, odd, or neither. You must show all your work. b) Starting with the formula of the given function H(3::), generate the new formula of the function after the following step by step transformations, you do not need to simplify the formula: Shift to the left by 3 units, shift up by 2 units, and then reflection over :1: axis (2) By completing the square method, turn quadratic function F(:1:) = 5:1:(a: ~ 2) + :1: + 4 into the vertex form f(x) = (1(3: ~ h)2 + Is. No credit for any other method. State the exact coordinates of the vertex and all steps f transformation from at) = 3:2 to F(33)