From the graph we can observe that G(x) is obtained by shifting F(x) 3 units to the left and 1 unit upwards.
Thus, both horizontal and vertical translations are involved. Horizontal translation of 3 units to left can be obtained by adding 3 to x in the equation and vertical translation of 1 can be obtained by adding 1 to the entire function.
So,
G(x) = F(x+3) + 1
G(x) = (x+3)² + 1
Thus the correct answer is option C
Answer:
Two 50 bottles
Step-by-step explanation:
because the 50 bottles is more cheaper than buying a n 80 ml bottle,
it's just a waste of money.
25 and 65 because 90 and 90 makes a square
Substituting x = 3 into the first expression:
-4(3) - 8 = -12 - 8 = -20
Substituting x = 3 into the second expression:
-2(3 + 1) - 2(3 + 3) = -2(4) - 2(6) = -8 - 12 = -20
Answer:
Step-by-step explanation:
1. regroup terms
2. Rewrite 
as 
and 343 as 
3. Since both terms are perfect cubes, factor using the sum of cubes formula, 
, where 
and 
4. Factor 
out of 
5. Regroup
6. Factor again
