Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
1 answer:
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
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Answer:
The correct option is:
2, 4, 12, 48, 240
Step-by-step explanation:
We have to determine the first 5 terms of the sequence by using following formula:
To Calculate the first 5 terms.
Put n = 1
a₁ = 2 (1)!
a₁ = 2(1)
a₁ = 2
Put n = 2
a₂ = 2 (2)!
a₂ = 2 (2·1) = 2(2)
a₂ = 4
Put n = 3
a₃ = 2(3)!
a₃ = 2(3·2·1)
a₃ = 2(6)
a₃ = 12
Put n = 4
a₄ = 2(4)!
a₄ = 2(4·3·2·1)
a₄ = 2(24)
a₄ = 48
Put n =5
a₅ = 2(5)!
a₅ = 2(5·4·3·2·1)
a₅ = 2(120)
a₅ = 240