Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) = 
When translated by 3 units left,
f(x + 3) = 
g(x) = 
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) = 
Since a point (1, 4) passes lies on the transformed function.
g'(1) = 
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
Answer:6\
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
-3-6= -8 but since its absolute value it'll be 8 so 8 plus 10 = 18
Answer:
a)
28000 + 3000·x = 36000 + 2000·x --> x = 8 years
b)
28000 + 3000·8 = $52000
Answer:
Step-by-step explanation:
The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r
Common ratio = 6/3 = 12/6 = 2
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 3
r = 2
The function, f(n), representing the nth term of the sequence is
f(n) = 3 × 2^(n - 1)