The city council may establish, by resolution, zones upon any street within the city, within which parking shall not be permitted, or the manner of parking, or restrictions as to the use thereof. When any such zone or zones shall have been so established and marked by signs giving notice of such restriction or restrictions, no person shall park a vehicle therein in violation of such restriction(s). The council, upon finding and declaring the necessity to prohibit or limit the parking or standing of vehicles upon a street, shall direct the posting or erecting of signs prohibiting or limiting the stopping, standing or parking of such vehicles upon the streets of the city. (1974 Code § 7-206)