tmua None Q10

tmua · Uk · specimen_paper1 Function Transformations
10. The curve $y = \cos x$ is reflected in the line $y = 1$ and the resulting curve is then translated by $\frac { \pi } { 4 }$ units in the positive $x$-direction. The equation of this new curve is
A $y = 2 + \cos \left( x + \frac { \pi } { 4 } \right)$
B $y = 2 + \cos \left( x - \frac { \pi } { 4 } \right)$
C $y = 2 - \cos \left( x + \frac { \pi } { 4 } \right)$
D $\quad y = 2 - \cos \left( x - \frac { \pi } { 4 } \right)$
10. The curve $y = \cos x$ is reflected in the line $y = 1$ and the resulting curve is then translated by $\frac { \pi } { 4 }$ units in the positive $x$-direction. The equation of this new curve is

A $y = 2 + \cos \left( x + \frac { \pi } { 4 } \right)$

B $y = 2 + \cos \left( x - \frac { \pi } { 4 } \right)$\\
C $y = 2 - \cos \left( x + \frac { \pi } { 4 } \right)$\\
D $\quad y = 2 - \cos \left( x - \frac { \pi } { 4 } \right)$\\