SOLUTION: a) Given the range of a sinusoidal function is {y|y ∈ R,−6 ≤ y ≤ 0}, determine the amplitude and the equation of the central axis.
b) Determine the 2 transformations a
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Question 1181063: a) Given the range of a sinusoidal function is {y|y ∈ R,−6 ≤ y ≤ 0}, determine the amplitude and the equation of the central axis.
b) Determine the 2 transformations applied on the function {y|y ∈ R,−6 ≤ y ≤ 0}, to transform the range to {y|y ∈ R, 4 ≤ y ≤ 6}.
I NEED YOUR HELP ASAP! thanks
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a) Given the range of a sinusoidal function is {y|y ∈ R,-6 ≤ y ≤ 0}, determine the amplitude and the equation of the central axis.
Where
=Amplitude
=Period
=Phase shift
=Vertical shift
Range=[,]
or
Range=[,]
{y|y ∈ R,-6 ≤ y ≤ 0}
............eq.1
....eq.2
=>=>=>=>
=>
Period of sine function is
=>
Phase shift
=>
the equation of the central axis:
b) Determine the 2 transformations applied on the function {y|y ∈ R,-6 ≤ y ≤ 0}, to transform the range to {y|y ∈ R, 4 ≤ y ≤ 6}.
{y|y ∈ R,4 ≤ y ≤ 6}
............eq.1
....eq.2
=> from eq.1 and eq.2 we have
then
=>=>
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