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which equation represents the graph of y = cos x flipped across the x - axis then shifted vertically down by 2 units

Respuesta :

The answer you are looking for is "-Cos(x)-2=Y)

This is because converting Cos to a negative value causes all values to change integers in terms of Cos, and (-2) vertically shifts the equation 2 values downward.

-I hope this is the answer you are looking for please feel free to post your questions here on brainly in the future.

Answer:

The required equation is [tex]y=-\cos (x)-2[/tex]  

Step-by-step explanation:

Given : Equation [tex]y=\cos x[/tex]

To find : The equation represents the graph of [tex]y=\cos x[/tex] flipped across the x - axis then shifted vertically down by 2 units.

Solution :

The equation is  [tex]y=\cos x[/tex]

  • The equation is flipped across the x - axis.

The reflection of the point (x,y) across  the x-axis is the point (x,-y).

f(x,y)→f(x,-y)

 [tex]-y=\cos x[/tex]

 [tex]y=-\cos x[/tex]

  • Shifted vertically down by 2 units.

Shifted downward means function is shifted by a unit .

f(x)→f(x)-b , function is shifting downwards by b unit.

[tex]y=-\cos (x)-2[/tex]    

Therefore, The required equation is [tex]y=-\cos (x)-2[/tex]  

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