The graph shows f(x)and its transformation(x).
1 answer:
Using translation concepts, the equation for function g(x) given in the graph is:
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function for this problem is given as follows:
From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:
More can be learned about translation concepts at brainly.com/question/28098112
#SPJ1
You might be interested in
Answer:
a)
b) Approx. 27,569 bacteria
c) About 103 minutes
Step-by-step explanation:
a)
This will follow exponential modelling with form of equation shown below:
Where
A is the initial amount (here, 12000)
b is the growth factor (double, so growth factor is "2")
n is the number of minutes in which it doubles, so n = 50
Substituting, we get our formula:
b)
To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.
Remember, t is in minutes, so
1 hour = 60 minutes
t = 60
Substituting, we get:
The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>
<u></u>
c)
To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:
After about 103 minutes, there will be 50,000 bacteria