Final answer:
To graph the region bounded by the equations y = x^2 and y = 4x, find the points of intersection by setting the two equations equal to each other. The points of intersection are (0, 0) and (4, 16). Plot these points on a graph and draw a curve connecting them to represent the region bounded by the two equations.
Step-by-step explanation:
To graph the region bounded by the equations y = x^2 and y = 4x, we need to find the points where the two graphs intersect. These points will mark the boundaries of the region.
To find these points, set the two equations equal to each other:
x^2 = 4x
Now, we can solve for x:
x(x - 4) = 0
This equation gives us two possible values for x: x = 0 and x = 4. Plugging these values back into either equation yields the corresponding y-values: y = 0 and y = 16.
Therefore, the points of intersection are (0, 0) and (4, 16). Plot these points on a graph and draw a curve connecting them to represent the region bounded by the two equations.