In a mass-spring system executing simple harmonic motion, the frequency (f) is determined by the characteristics of the system, such as the mass (m) and the spring constant (k). The amplitude (x) does not directly affect the frequency of the system.
If the amplitude is increased four times (4x), it only affects the maximum displacement or range of motion, not the frequency. Therefore, the frequency (f) of the system will remain the same.
To change the frequency of a mass-spring system, you would need to modify the mass or the spring constant. Altering the amplitude alone does not impact the frequency.