Mathematics: The graph of f(x)=|x| is reflected over the y-axis and horizontally compressed by a factor of 1/9. write a formula for function g(x)

The graph of f(x)=|x| is reflected over the y-axis

fperez616

09.03.2022

Reflection over the y-axis = change $x\mapsto -x$

Compress by a factor of k = multiply by k

So, in your case, we first change the sign of the argument. Note that this has no effect, because f(x) is symmetric with respect to the y-axis:

$|x|\mapsto |-x| = |x|$

Then, we compress the function, multiplying it by the scaling factor:

$|x| \mapsto g(x)=\dfrac{|x|}{9}$

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bri9263

17.01.2020

$11.20 + 2 = 1122 1050 +3 = 1053 hope this help

Step-by-step explanation:

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