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For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
<h3>How to find the resulting equation after applying a compression</h3>
Here we must narrow a given function by a <em>rigid</em> operation known as compression. <em>Rigid</em> transformations are transformations in which <em>Euclidean</em> distances are conserved. In the case of functions, we define the horizontal compression in the following manner:
g(x) = f(k · x), for 0 < k < 1 (1)
If we know that f(x) = x², then the equation of g(x) is:
g(x) = (k · x)², 0 < k < 1
For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
To learn more on rigid transformations: brainly.com/question/1761538
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This is just a ONE STEP equation.
It is, because all you must do to solve for "x" is subtract 2
Answer:
(0,2)
Step-by-step explanation:
I'm going to assume you meant Which point is ON the graph of f(x) = 2 * 5^x?
In order to do this question, all you need to do is pick any number as x. Lets pick 0 in this case.
f(x) = 2 * 5^x
f(0) = 2*5^0
= 2*1
= 2
So one point on the graph would be (0,2)
Why?
Because remember with functions, the f(x) can be swapped out with y, so when x = 0, y = 2.
Answer:
7.406
Step-by-step explanation:
7.406 in standard form