Respuesta :

the answer to the question is choice a

Answer:

y = 1/2sin(x) - 2

Step-by-step explanation:

Since 2 is subtracted from the end of the function, the graph will be shifted down 2 units.  The parent function y = sin(x) goes through the origin, (0, 0); this means the y-intercept of this graph will be at (0, -2).

Additionally, since the function has been stretched horizontally, we know it has been multiplied by a fraction.  This means it must be y = 1/2sin(x) - 2.