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
#SPJ1
The slope is 2/3 because 3 - 1 = 2 and 0 - -3 = 3
Answer:
Step-by-step explanation:
X = 1/2 arc QS
arc QS is
360 =145+105+QS
110 = QS
so X is 1/2 QS
X= 55°
Answer:
It's 24 packs of cat food
Step-by-step explanation:
You have to think of it as 30% of 80.
30 ?
----- = ----
100 80
Now you have to find out what is in the blank by doing 80 times 30 to find what that equals. That equals 2,400. Now you have to find what times a 100 gets you 2,400. You divide a 100 by 2,400 to get 24. There's your answer
Answer:
No
Step-by-step explanation:
x = -2 represents a vertical line that intersects the x axis at the point (-2, 0). Since the line is vertical, the slope is undefined making it not have a positive slope.
Best of Luck!
