The vertex of a quadratic function is (1, -3), and a point on the graph is (2, -2). Which of the following represents the general form of the quadratic equation?

For the above graph, which one of the following statements is correct? 

Which of the following quadratic equations has one real solution?

 For the function f(x) = ( x² - 4)/(x - 2), determine the domain and range.

Consider the following relation:

{(1, 3), (2, 4), (3, 6), (4, 8), (5, 10)}

The above relation is a function with a domain and codomain specified as follows:

Domain: {1, 2, 3, 4, 5} Codomain: {3, 4, 5, 6, 7, 8, 9, 10}.

If the composition of functions is well defined, which of the following is the value of fog (4) for the functions f(x) = -10x ^{3} +5 and g(x) = 5x ^{3/2}  

Consider the function f(x) = log₂(x - 2).

Which of the following options correctly represents the domain and range of the function?