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
#SPJ1
I hope it can help you hehehehe
Answer:
x² - 5x = 14
x = -2 or x = 7
Step-by-step explanation:
x² - 5x = 14
x² - 5x - 14 = 0
(x+2)(x-7) = 0
x = -2 or x = 7
Answer:
y = 1
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 25 when x = 
, then
25 = 
= 5k ( divide both sides by 5 )
5 = k
y = 
← equation of variation
When x = 5, then
y = 
= 1
Answer:
It is an example of an empirical probability.
Step-by-step explanation:
The empirical probability, also called experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Theoretical probability is probability that is determined on the basis of reasoning.
It is evident that the probability in the question was arrived at after the outcome of 14 days of whether Jerry Gergich spilled his lunch on himself or not.
It's an actual result of an experiment, hence the 12/14 = 0.86 = 86% that he spills his lunch on himself tomorrow.
Hope this Helps!!!
