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:
The correct answers are:
0.95g
g - 0.05g
(1 - 0.05)g
Step-by-step explanation:
Amount of last week's rain = g inches
this week = 5% decrease on last week's amount
5% of last week's amount = 5/100 × g = 0.05g
∴ This week's amount of rain = 0.05g decrease
∴ Amount of rain this week = (Amount of rain last week) - 0.05g
∴ Amount of rain this week = g - 0.05g
This can be simplified by factorizing the common term "g"
g - 0.05g = g(1 - 0.05) = 0.95g
Marked price = 200 + 40% of 200 = 200 * 0.4*200 = 200 + 80 = $280
price after 25% discount = 280 - 0.25*280
can you work that out?
Step-by-step explanation:
Given F(x) is 5 10 8 5 7 14 where x is - 1 0 1 2 3 9,
the value of F(2) is 202,478
Answer:
26 and 49.
Step-by-step explanation: