The function f(x)=lnx is transformed into the equation f(x)=ln(9.2x). Select from the drop-down menus to correctly identify the

Question

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The function f(x)=lnx is transformed into the equation f(x)=ln(9.2x). Select from the drop-down menus to correctly identify the

parameter and the effect the parameter has on the parent function. The function f(x)=ln(9.2x) is a of the parent function by a factor of _________.

Mathematics

1 answer:

d1i1m1o1n [39] · Answer 1 · 2022-07-10T02:31:17+03:00

The function f(x)=ln(9.2x) is a horizontal compression of the parent function by a factor of 1/9.2

Step-by-step explanation:

The multiplication of a function by a number compresses or stretches the function vertically while to compress or stretch the function horizontally, the input variable is multiplied with a number.

i.e.

$For\ f(x) => g = f(bx)$

where b is a constant.

Now

If b>0 then the function is compressed horizontally

The given function is:

$f(x) = ln\ x\\Transformed\ to\\f(x) = ln\ (9.2x)$

As the variable in function is multiplied with a number greater than zero, the function will stretch horizontally.

The function f(x)=ln(9.2x) is a horizontal compression of the parent function by a factor of 1/9.2

Keywords: Transformation

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