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

The resulting function after these transformations is given by:

option: C is correct.

Step-by-step explanation:

We are given a equation of the parent function as:

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 is flipped across x-axis then the equation of resulting function is:

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

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

Hence, option: C is correct.

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation:

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)