Using translation concepts, the changes are described as follows:
a) The function is vertically stretched by a factor of 3, and shifted down 2 units.
b) The function is shifted 1 unit right and 4 units down.
c) The function is horizontally compressed by a factor of 2 and shifted up 5 units.
<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 changes are as follows:
- y -> 3y, hence the function is vertically stretched by a factor of 3.
- y -> y - 2, hence the function is shifted down 2 units.
Item b:
The changes are as follows:
- x -> x - 1, hence the function is shifted right 1 unit.
- y -> y - 4, hence the function is shifted down 4 units.
Item c:
The changes are as follows:
- x -> 0.5x, hence the function is horizontally compressed by a factor of 2.
- y -> y + 5, hence the function is shifted up 4 units.
More can be learned about translation concepts at brainly.com/question/4521517
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If the <em>n</em>-th term of the sequence is given by <em>n</em> ² - 2, then the 5th term is obtained by simply replacing <em>n</em> with 5 :
5² - 2 = 25 - 2 = 23
Answer:
f= 2x+3/x
Step-by-step explanation:
divide both sides by x