How do you sketch the graph of y=-x^2+2 and describe the transformation?

1 Answer
Feb 21, 2018

See Explanation

Explanation:

Start by sketching its parent function. That is y=x^2

graph{x^2 [-10, 10, -5, 5]}

Next sketch y=-x^2. The - sign implies that the function y=x^2 is flipped vertically over the x-axis.

graph{-x^2 [-10, 10, -5, 5]}

Lastly, sketch y=-x^2+2. This means that we take all the points of the graph y=-x^2 and translate them up 2 units.

The final graph will look like this:

graph{-x^2+2 [-10, 10, -5, 5]}