#### Exercise 2

Chapter P, Section P.1, Page 8

ISBN: 9780547167022

Solution

VerifiedAnswered 10 months ago

Answered 10 months ago

Step 1

1 of 4$y=\sqrt{9-x^{2}} \\ y=\sqrt{9-\left( -x\right)^{2}} \\ y=\sqrt{9-x^{2}}$

We can narrow down our options by checking for symmetry. We only have to check for $y$-axis symmetry and origin symmetry because none of the options have $x$-axis symmetry. Two of the four options have $y$-axis symmetry, so let's check for that type of symmetry first. To check for $y$-axis symmetry, first replace $x$ with $-x$. Then simplify. The resulting equation is equivalent to the original equation; that means that there IS $y$-axis symmetry.

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