How is the graph of different from the graph of ?

Which of the following represents a standard parabola shifted up by 2 units?

Which of the following transformation flips a parabola vertically, doubles its width, and shifts it up by 3?

Which of the following shifts a parabola six units to the right and five downward?

Which of the following transformations represents a parabola shifted to the right by 4 and halved in width?

Which of the following transformations represents a parabola that has been flipped vertically, shifted to the right 12, and shifted downward 4?

If , what is ?

Which of the following transformations represents a parabola that has been shifted 4 units to the left, 5 units down, and quadrupled in width?

Give the equation of the horizontal asymptote of the graph of the equation

If the function is shifted left 2 units, and up 3 units, what is the new equation?