The graph of the function f(x) = |x| is vertically stretched by a factor of 2, shifted 6 units down, and then shifted 4 units to the right. Draw the transformed function on the provided graph.

Given the points a(-2, 1) and b(8, 6), find the coordinates of the point c on directed line segment ab, that partitions ab in the ration 2: 3.

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?

What are the coordinates of a vertex of the hyperbola?