Answer:
The equation of the new function will be the option C i.e. g(x) = 1/3lxl
Step-by-step explanation:
As the absolute value parent function is f(x)=lxl.
In order to vertically compress or stretch the parent function, we must have to multiply the function with a constant number.
Lets suppose that constant number is 'a'.
If a function is multiplied with a constant number i.e 'a', the function will compress or stretch depending upon the value of 'a'.
So,
If a > 1, then the function will vertically stretch.
But, it if 0 < a < 1, then the function will vertically compress.
So, from the available options in the question, the parent function f(x)=lxl will be multiplied by 1/3 if we want to vertically compress the function.
Hence, the equation of the new function
will be the option C i.e. g(x) = 1/3lxl
keywords: absolute value, vertically compression, function
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