Why is a parallelogram not the same type of quadrilateral as a trapezoid

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

What is the average rate of change for this function for the interval from x=2 to x=4 ?

What are the coordinates of the image of p for a dilation with center (0, 0) and scale factor 2