Determine the relationship between the coordinates of the vertices of a triangle and its centroid.
Find the equation of a circle based on its radius and locus of coordinates.
Explore the variability of the slope of a curve on small intervals.
Identify the change in the x-intercepts of a function when you reverse its leading coefficient and constant term.
Determine which type of functions have maximums and under what circumstances those maximums occur.
Determine which pairs of functions produce the greatest number of intersections.
Identify the solution to an equation by examining its graph.
Examine the relationship between the coefficients in two linear functions if they are parallel, perpendicular, share the same intercept, and more.
Determine the relationship between the slope of a line and the angle it makes with a horizontal line.
Observe how the coefficients of a quadratic equation affect properties on the graph.