The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>
In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
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Answer:
1. b=39.497
2. c=3.606
3. a=18.974
Step-by-step explanation:
1.
41^2-11^2=b^2
1681-121=b^2
b^=1560
b=39.497
2.
2^2+3^2=c^2
4+9=c^2
c^2=13
c=3.606
3.
21^2-9^9=a^2
441-81=a^2
a^2=360
a=18.974
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Solve the incomplete quadratic equation:
Solution set:
S = {0, 8}.
I hope this helps. =)
Answer:
k\.
Step-by-step explanation:
For this case we have that by definition:
Indicates an example of the associative property of multiplication.
Similarly, we observe the associative property of multiplication
Answer:
associative property of multiplication
