# 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

See explanation

#### Explanation:

Square both sides giving

This is the equation of a circle centred at the origin

Thus is symmetrical about both the x and y axis

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Note that the question does NOT use the format