Answer:
[1].
Option A and D are correct.
[2].
Option A is correct
Step-by-step explanation:
[1].
Quadratic function states that it is an equation of second degree i.,e it contains at least one term that is squared.
The standard form of the quadratic equation is; 
A.

Using distributive property: 

Combine like terms;

or
 which represents a quadratic equation.
 which represents a quadratic equation.
B.


or
 which is not a quadratic equation.
 which is not a quadratic equation.
C.
(3x+2)+(6x-1) = 0
Combine like terms;
9x +1 = 0 which is not a quadratic equation.
D.
4b(b) = 0
 which represents the quadratic equation.
 which represents the quadratic equation.
[2].
Given the parent function: 
The reflection rule over x axis is given by;

then
the function become: 
Vertical shift: 
If c is a positive real number, the graph y=f(x)+c is the graph of y =f(x) shifted upward c units.
If c is a positive real number, the graph y=f(x)-c is the graph of y =f(x) shifted downward c units.
then;
The graph  is the graph of
 is the graph of  shifted 3 units down.
 shifted 3 units down.
Therefore, the translation of the graph of   to obtain
 to obtain  is, reflect over the  x-axis and shift down 3
 is, reflect over the  x-axis and shift down 3