Using a directrix of y = 5 with focus at (4, 1), what quadratic function is created? f(x) = 1/4(x − 4)2 − 3 f(x) = 1/8(x + 4)2 − 3 f(x) = −1/8(x − 4)2 + 3 f(x) = -1/4(x + 4)2 − 3

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Ineed i been stuck on this question since yesterday

Find the solution of each of the following.