Using translation concepts, the transformations are given as follows:
a) The function is horizontally compressed by a factor of 3 and shifted down one unit.
b) The function is shifted right 3 units and vertically stretched by a factor of 2.
<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.
Item a:
The transformations are:
- x -> 3x, hence the function is horizontally compressed by a factor of 3.
- y -> y - 1, hence the function is shifted down one unit.
Item b:
The transformations are:
- x -> x - 3, hence the function is shifted right 3 units.
- y -> 2y, hence the function is vertically stretched by a factor of 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
32,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Operation of Functions</u>
Given:
The sum of (f+g) (x) is:
We cannot operate with the expression inside the absolute bars, thus:
You can find the complementary angle for 28° first, which is 90°-28°=62°. Since this is a right triangle, you can then use trigonometry to find x (the hypotenuse). You have the angle and the adjacent side, so plug and play:
cos 62° = 350 / x
x = 350 / cos 62°
x = 745.5 ft
