Answer:
The correct answer is A
Step-by-step explanation:
The parent function is [tex]y=\cos(x)[/tex].
The possible transformations to this function are
[tex]f(x)=A\cos(Bx+C)+D[/tex]
The value of A is the amplitude.
When [tex]\frac{C}{B}[/tex] is negative, the graph of the parent functions shifts to the right horizontally [tex]\frac{C}{B}[/tex] units.
When [tex]\frac{C}{B}[/tex] is positive, the graph of the parent functions shifts to the left horizontally [tex]\frac{C}{B}[/tex] units.
A positive value of D translates the graph vertically up D units.
A negative value of D translates the graph vertically down D units.
[tex]y=\cos(x+\frac{\pi}{2})[/tex] will shift the graph to the left [tex]\frac{\pi}{2}[/tex] units,
The correct answer is A
