Local Council Rekhasim (meaning mountain ridges) is situated in Zvulun valley, 12 km from Haifa between Qiryat Ata and Nesher. Est. 1952 and has 7,000 inh. On my visit on 1 September 2001 there was no flag besides the national flag on the city hall, but a flag showing a blue emblem on a white field, with a semicircular inscription above, was spotted on the local civil guard point (across the city hall). Here is a photograph of the flag — the inscription above the emblem in my image should be semicircular. Sources: author's own observation, 1 September 2001; this webpage.
The municipal emblem was published in the official gazette (Rashumot), YP 1816, 13 April 1972.