Using translation concepts, the graph of function g(x) = f(x) - 2 = x² - 2 is given at the end of the question.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are given as follows:
- g(x) = f(x) - 2 = x² - 2.
Which means that g(x) is a shift down of 2 units of f(x), as given by the graph in the end of the question.
More can be learned about translation concepts at brainly.com/question/4521517
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See the attached diagram, it has all the information you need.
(a) If the green radii are all 1, then the orange diameters are all 2 + √2, so that the orange radii are (2 + √2)/2 = 1 + √2/2.
This is because we can join the radii of two adjacent green circles to form the sides of a square with side length equal to twice the radius - i.e. the diameter - of the green circles. The diagonal of any square occurs in a ratio to the side length of √2 to 1. Then we get the diameter of an orange circle by summing this diagonal length and two green radii, and hence the radius by dividing this by 2.
(b) We get the blue diameter in the same way. It has length (2 + √2) (1 + √2/2) = 3 + 2√2, so that the blue radius is (3 + 2√2)/2 = 3/2 + √2.
Answer:
8x
Step-by-step explanation:
You can make 128 different couches because 16x8=128
Answer:
Yes, it is effectively infinite
Step-by-step explanation:
An effectively infinite population refers to population from which it is possible to obtain a computable sub-population from it, and it is also effectively possible to construct another new sub-population from that same population that will not have elements already contained in the first sub-population.
The attributes of this kind of population is called effective infinity.
Database of recent graduates of any university possess this kind of attributes since it is possible to obtain another over 30,000 recent graduates from the database that will not have elements of the first 30,000.
