It looks like you're asking about the Doppler effect, which involves changes in frequency or wavelength of waves in relation to an observer moving relative to the source of the waves. Let me fill in the blanks and clarify the concepts for you.
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When a vibrating object is moving away from an observer, the measured frequency of the vibrations will be lower than when the object and the observer are both stationary. This is known as the redshift effect in the case of light waves.
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When a vibrating object is moving toward an observer, the measured frequency of the vibrations will be higher than the actual rate of vibration of the object; this is known as the blueshift effect.
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When a star starts moving toward an observer on Earth, the light spectrum of the star will appear bluer compared to the light spectrum of the sun, which is considered to be at rest (an Earth frame of reference). The star's light spectrum will show increased frequencies, indicating that it is moving towards us.
If you have further questions or specific examples in mind, feel free to ask!