Question

The graph displays the function g(x) = Equals 2 cosine (x + StartFraction pi Over 2 EndFraction) minus 2.
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
On a coordinate plane, a function has a maximum of 0 and minimum of negative 4. It completes one period at 2 pi. It decreases through the y-axis at (0, negative 2).

Answer 1

Answer:

its b on edge 2021

Step-by-step explanation:

Answer 2

The required function h(x) is $h (x) = 2 cos (x + \frac{11\pi }{8} ) - 3$ . Option d is correct.

Function g(x) =  $2 cos (x +\frac{\pi }{2} )- 2$

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) = $2 cos (x + \frac{11\pi }{8} ) - 3$

Thus, h(x) = $2 cos (x + \frac{11\pi }{8} ) - 3$.

Learn more about trigonometry equations here:

brainly.com/question/22624805

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