Question

How do you translate the graph of `y=1/2cos(x+pi/2)`?

Answer 1

As below.

Explanation:

Standard form of cosine function is `y = A cos(Bx - C) + D`

`y = 1/2 cos (x + pi/2)`

`A = 1/2, B = 1, C = - pi/2, D = 0`

Amplitude `= |A| = 1/2`

Period `= (2pi)/|B| = (2pi)/1 = 2pi`

Phase Shift `= -C / B =( pi/2) / 1 = pi/2, color(red)(pi/2` to the RIGHT

Vertical Shift `= D = 0`

graph{1/2 cos (x + (pi/2)) [-10, 10, -5, 5]}