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
Deepesh Pandey
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]}

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