i have attched the problem which i am having trouble with

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- Jul 17th 2007, 04:01 AMcarlasadersketch the curve
i have attched the problem which i am having trouble with

- Jul 17th 2007, 04:22 AMSoroban
Hello, carlasader!

Exactly where is your difficulty?

. . Are you at all familiar with "translations"?

$\displaystyle a)\;\;y \:=\:f(\text{-}x)$

Replacing $\displaystyle x$ with $\displaystyle \text{-}x$ reflects the graph across the $\displaystyle y$-axis.

. . The graph is a left/right mirror-image.

$\displaystyle b)\;\;y = -f(x)$

Replacing $\displaystyle f(x)$ with $\displaystyle \text{-}f(x)$ reflects the graph across the $\displaystyle x$-axis.

. . The graph is an up/down mirror-image.

$\displaystyle c)\;\;y = f(|x|)$

Replacing $\displaystyle x$ with $\displaystyle |x|$ reflects the right half of the graph

. . onto the left side.