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?

Which of the following quadratic equations has one real solution?

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

 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}.

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

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

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}