The required function h(x) is h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3. Option d is correct.
Function g(x) = 2cos (x + π/2) - 2
What are trigonometric equations?
Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.
Here, the phase of the curve is increase by 7π/8.
So the phase = π/2 + 7π/8
= 11 π/8
And Shift of curve along y axis is by -1.
So, the total shift = -2-1
= -3
⇒ h(x) = 2cos (x + 11π/8) - 3
Thus, the function h(x) results when g(x) is translated.h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus
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