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Stars and other galactic objects may be moving towards or away from us at very high...

Stars and other galactic objects may be moving towards or away from us at very high speeds. This leads to a doppler shift of the electromagnetic radiation observed from this object. In each of the following cases, you are given the type of emitted radiation (as if you were at rest relative to the object) and the type of radiation towards which the observed light is shifted. From this information determine whether the object is traveling towards or away from you.
towards away  Red light emitted by the object is shifted towards ultraviolet radiation.
towards away  Infrared radiation emitted by the object is shifted towards red light.
towards away  Infrared radiation emitted by the object is shifted towards radio waves.
towards away  Green light emitted by the object is shifted towards red light.

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Answer #1

1) red light shifted towards uv radiation implies observed frequency (uv radiation) is greater that the emitted frequency (red light) i.e blue shift. Hence, the object is moving towards us.

2) infrared radiation shifted towards red light again implies that observed frequency is greater than the emitted frequency i.e. blue shift. Hence, the object is moving towards us.

3. infrared shifted towards radio waves implies observed frequency is smaller than the emitted frequency i.e. red shift. Hence, the object is moving away from us.

4. green light shifted towards red light implies observed frequency is smaller than the emitted frequency i.e. red shift. Hence, the object is moving away from us.

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