By observing the graph we can see that G(x) is obtained by shifting F(x) 2 units to the right.
A horizontal shift is indicated by addition/subtraction to x rather than the function.
A right shift is indicated by subtracting the number from x. So a right shift of F(x) will be indicated by F(x-2)
Thus,
G(x) = F(x-2)
G(x) = (x-2)²
So, the answer to this question is option B
An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below
<h3>
How to interpret trigonometric functions in transformations?</h3>
An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3
This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.
Another way to look at it is by;
Let us use the function f(x) = sin x.
Thus, the new function would be written as;
g(x) = sin (x - π/2), and this gives us;
g(x) = sin x cos π/2 - (cos x sin π/2) = -cos x
This will make a graph by shifting the graph of sin x π/2 units to the right side.
Now, shifting the graph of sin xπ/2 units to the left gives;
h(x) = sin (x + π/2/2)
Read more about Trigonometric Functions at; brainly.com/question/4437914
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Answer:
Approximate volume of ice cream = 3.03 inches
Step-by-step explanation:
Given - An empty ice cream cone has a height of 3.02 inches and a radius
of 0.98 inches.
To find - What is the approximate volume of ice cream it will hold within the cone ?
Proof -
We know that,
Volume of the cone = 
where
r is the radius of the cone
h is the height of the cone
Here,
Given that,
r = 0.98 inches
h = 3.02 inches
So,
Volume =
= 
( Consider the value of 
= 3.14)
= 3.0373
∴ we get
Approximate volume of ice cream = 3.03 inches
So,
The correct option is - G. 3 in 3
Answer:
Sierra's profit was $41.
Step-by-step explanation:
Sierra realized she lost two-third of a dollar each hour when the shop was closed.
The expression that models this situation is, ............. (1)
Now, we have to calculate Sierra's profit if the shop was closed for 6 hours.
So, putting h = 6 hours in the equation (1) we get,
dollars.
So, Sierra's profit was $41. (Answer)
Step-by-step explanation:
