What's the difference between #y=(-x)^2# and #y=-x^2#?

Working on graphing reflections and I don't get it lol

1 Answer
Notar Victor
Feb 16, 2018

Sign(x)

Explanation:

#(-x)^2# is always a positive number, as any number to the power of 2 is positive ( in this case, the number is (-x) ).
on the other hand, #-(x^2)# is completely another thing. #-(x^2)# is always a negative number because:
• #x^2# is positive
• #-(x^2)# means the opposite of #x^2#

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