Question

Which function h(x) results when g(x) is translated startfraction 7 pi over 8 endfraction units right and 1 unit down? h (x) = 2 cosine (x minus startfraction 3 pi over 8 endfraction) minus 1 h (x) = 2 cosine (x minus startfraction 3 pi over 8 endfraction) minus 3 h (x) = 2 cosine (x startfraction 11 pi over 8 endfraction) minus 1 h (x) = 2 cosine (x startfraction 11 pi over 8 endfraction) minus 3

Answer 1

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

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ4