PLEASE ANSWER!!! Select the correct answer from each drop-down menu. Consider the function f(x) = 3x + 1 and the graph of the fu
nction g(x) shown below.
2 answers:
Answer:
Translation of 2 units to the right
g(x) = f(x-2)
Step-by-step explanation:
Given the original function f (x) = 3x +1, we can get the function plotted by translating the graph 2 units to the right.
As seen in the attached image, the original function f(x) is shown in orange, while the translation 2 units to the right is the function in blue. Notice that in the original function the crossing of the x-axis occurs at x = -1/3, and translating the function to the right 2 units moves the crossing two full units to the right, making it now cross the x-axis at x = 5/3
Such translation in 2 units to the right corresponds to a subtraction of 2 units from the x-variable in the original functional expression:
g (x) = f (x - 2) g (x) = 3(x - 2) + 1
Hope it helped u if yes mark me BRAINLIEST
TYSM
You might be interested in
Answer:
Step-by-step explanation:
So lets go over what we know:
There are 3 large pizzas
Each pizza has a addition cost of 2 dollars
The total cost is 42 dollars
We need to find the cost per pizza.
Now lets piece together our equation.
We know that the pizzas equal 42 dollars so we can immediately put 42 on the opposite side of the equal side:
We also know that each of the 3 pizzas cost 2 dollars. This would go on the left side of the equation:
Now, we know x is the amount of pizzas. There are 3 pizzas, or in other words, 3x. We can add this to the left side of the equation, because the 3 pizzas plus the 6 dollars equals the total of 42 dollars:
There are no answers above that look like this, however. This is because we have to factor the left side of the equation.
A factor of both 3 and 6 is 3. So we can factor out 3 and we get:
This looks like the first answer!
Hope this helps! :3
Answer:
2010.
Step-by-step explanation:
We have been given an exponential growth formula , which represents number of passengers traveling by airplane since 1990.
To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:
Take natural log of both sides:
Using property , we will get:
This means that in the 20th year since 1990, 900 million passengers would travel by airline.
Therefore, 900 million passengers would travel by airline in 2010.