Which equation represents the graph of y = cos x flipped across the x-axis then shifted vertically up by 2 units? A.y = cos(-x) + 2 B.y = cos(x - 2) C.y = -cos x + 2 D.y = -cos x - 2

y = cos x
After flipping a cross the x-axis
∴ y = - cos x
After shifting vertically up by 2 units
∴ y = - cos x +2

the correct answer is option C
C.y = -cos x + 2

See the attached figure

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virtuematane virtuematane · Answer 2 · 2019-02-28T06:09:02+01:00

Answer:

The resulting function after these transformations is given by:

[tex]y=-\cos x+2[/tex]

option: C is correct.

Step-by-step explanation:

We are given a equation of the parent function as:

[tex]y=\cos x[/tex]

We are asked to find the equation of the which represents the graph of y = cos x flipped across the x-axis then shifted vertically up by 2 units.

We know that if any function [tex]y=f(x)[/tex] is flipped across x-axis then the equation of resulting function is:

[tex]y=-f(x)[/tex]

Also if any function g(x) is shifted vertically up by a units then the equation is given by:

[tex]g(x)=g(x)+2[/tex]

Hence, here the resulting function after these transformations is given by:

[tex]y=-\cos x+2[/tex]

Hence, option: C is correct.