How do you determine whether the graph of #y=sqrt(2-x^2)# is symmetric with respect to the x, y axis?

1 Answer
Nov 28, 2016

Answer:

See explanation

Explanation:

Square both sides giving

#y^2=2-x^2#

#x^2+y^2=2#

This is the equation of a circle centred at the origin

Thus is symmetrical about both the x and y axis
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Note that the question does NOT use the format #y=+-sqrt(2-x^2)#