transformation(急)

2012-10-06 3:03 am
a graph of y=10^x

1. After transformation mof reflection by the line y=x, what is the new grpah obtained?

2. the new graph obtained is y=(1/10)^x, what is the transformation

如何得知??

回答 (1)

2012-10-06 4:18 am
✔ 最佳答案
1. Reflection by y=x =====> the inverse function

The inverse function of 10^x is log x, hence the new graph obtained is y=log x

2. Replace x by (-x), [This is the reflection about the y-axis]
y=10^(-x)
y= [ 10^(-1) ]^x
y = (1/10)^x

So the transformation is reflection about the y-axis


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