Graph the quadratic functions y=-2x^2 and y=-2x^2+4 . Using those graphs, compare and contrast the shape and position of the graphs

Answer 1

The graphs of the quadratic functions y = -2x^2 and y = -2x^2 + 4 are both downward facing parabolas. The main difference between the two graphs is that the graph of y = -2x^2 is shifted upwards by 4 units to create y = -2x^2 + 4.

Here is the graph of y = -2x^2:

y = -2x^2

And here is the graph of y = -2x^2 + 4:

y = -2x^2 + 4

As you can see, the graph of y = -2x^2 + 4 is simply the graph of y = -2x^2 shifted upwards by 4 units. Both graphs have the same shape - a downward facing parabola - but their positions on the graph are different.