Following changes are made in graph of G(x) to obtain F(x)
1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)
2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)
3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2
Thus,
F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2
Therefore, option C is the correct answer
f(x) = (x - 2)^3 + 1
Find the derivative:-
f'(x) = 3(x -2)^2 This = 0 at the turning points:-
so 3(x - 2)^2 =
giving x = 2 . When x = 2 f(x) = 3(2-2)^3 + 1 = 1
Answer is (2, 1)
Answer:
Step-by-step explanation:
Answer:
4.11 * 10⁷ square miles
Step-by-step explanation:
Let P = pacific ocean
A = Atlantic ocean
P = 63,780,000 = 6.38 * 10⁷
Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,
The area of A = 6.38 * 10⁷ - 2.27 * 10⁷
The area of the atlantic ocean = 4.11 * 10⁷ square miles
Total cost of item = $138
Explanation:
The tax percentage = 15%
cost of item = $120
sales tax = cost of item × The tax percentage
sales tax = 120 × 15%
=120 × 0.15
sales tax = $18
Total cost of item = initial cost of item + sales tax
Total cost of item = 120 + 18
Total cost of item = $138
