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)
To learn more on rigid transformations: brainly.com/question/1761538
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Answer:
it depends on the choices
Step-by-step explanation:
Q10 A20 i think
hope this helps
Answer:
Answers are 3 AM ; 10 , 54
Step-by-step explanation:
We are given a graph.
Recording of temperature starts from 9 PM.
So from Graph,
Temperature ate 9 PM = 59°F
Temperature ate 11 PM = 54°F
Temperature ate 1 AM = 51°F
Temperature ate 3 AM = 50°F
Temperature ate 5 AM = 51°F
Temperature ate 7 AM = 54°F
Temperature ate 9 AM = 59°F
So, At 3 AM the water is at its lowest temperature.
and
After 10 hours passed, the temperature of the lake is 54°F.
Therefore, Answers are 3 AM ; 10 , 54
multiply 6 x 6 to get 36 and 7 x 11 to get 77.
6/7 x 6/11 = 36/77
