How do you describe the transformation of f(x)=2-(x+5)^2 from a common function that occurs and sketch the graph?

1 Answer
Mar 5, 2018

This way.

Explanation:

Consider y= x^2 as the starting common function.

Now , x^2------> (x+5)^2 involves a leftward (negative) direction shift of 5 units.

Then, (x+5)^2------> - (x+5)^2 means we have to take a mirror image about the x axis.

Then, - (x+5)^2 ------> 2- (x+5)^2 involves shift along y axis in the positive or upper direction .

Hence, we get the required graph.

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