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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Answer:
Dimensions : 37.5 * 12.5
length : 37.5
width : 12.5
Step-by-step explanation:
let x = length and y = width
x = 3y based on info from problem
Perimeter = 2(length + width)
100 = 2(x + y)
substitute 3y for x
100 = 2(3y + y)
100 = 2(4y)
100 = 8y
y = 12.5
x = 3(12.5) = 37.5
Answer:
divide 6 by 4, this will get her 1.5 gallons which is how many gallons 6 quarts is.
Step-by-step explanation:
there ya go
Domain (-infinity,infinity)
Range (-infinity, infinity)
Answer:
so the answer is ,,5". hope this helped! Have a nice day.
Step-by-step explanation:
45:9=5
