Exhibit 1.2

QWEST CORPORATION

PRICE DETERMINATION AGREEMENT

June 14, 2012

Merrill Lynch, Pierce, Fenner & Smith

Incorporated

Morgan Stanley & Co. LLC

UBS Securities LLC

Wells Fargo Securities, LLC

As Representatives of the several Underwriters

c/o     Merrill Lynch, Pierce, Fenner & Smith

Incorporated

One Bryant Park

New York, New York 10036

Morgan Stanley & Co. LLC

1585 Broadway

New York, New York 10036

UBS Securities LLC

677 Washington Blvd.

Stamford, Connecticut 06901

Wells Fargo Securities, LLC

301 South College Street

Charlotte, North Carolina 28288

Ladies and Gentlemen:

Reference is made to the Underwriting Agreement, dated June 14, 2012 (the “Underwriting Agreement”), between Qwest Corporation, a Colorado corporation (the “Company”), and the several Underwriters named in Schedule I thereto (the “Underwriters”). The Underwriting Agreement provides for the sale to the Underwriters, and the purchase by the Underwriters, severally and not jointly, from the Company, subject to the terms and conditions set forth therein, of $400,000,000 aggregate principal amount of the Company’s 7.00% Notes due 2052 (the “Securities”) to be issued pursuant to an Indenture dated as of October 15, 1999, between the Company (formerly named US WEST Communications, Inc.) and Bank of New York Trust Company, National Association (as successor in interest to Bank One Trust Company and J.P. Morgan Trust Company, National Association), as amended and supplemented to the date hereof, and as will be further supplemented by the Eleventh Supplemental Indenture between the Company and U.S. Bank National Association, as trustee, to be dated as of June 25, 2012 relating to the Securities. This Agreement is the Price Determination Agreement referred to in the Underwriting Agreement.

For all purposes of the Underwriting Agreement, “Time of Sale” means 3:20 p.m. (New York City time) on the date of this Price Determination Agreement.

Pursuant to Section 1(b) of the Underwriting Agreement, the undersigned agree with the several Underwriters that the purchase price for the Securities to be paid by the several Underwriters shall be 96.85% of the aggregate principal amount of the Securities set forth opposite the names of the Underwriters in Schedule I attached thereto for retail orders ($364,083,363 purchase price in respect of $375,925,000 aggregate principal amount); provided that such purchase price will be 98.00% of the aggregate principal amount of the Securities sold by the Underwriters to certain institutions ($23,593,500 purchase price in respect of $24,075,000 aggregate principal amount).

The Company represents and warrants to the several Underwriters that the representations and warranties of the Company set forth in Section 3 of the Underwriting Agreement are accurate as though expressly made at and as of the date hereof.

THE RIGHTS AND DUTIES OF THE PARTIES TO THIS PRICE DETERMINATION AGREEMENT SHALL, PURSUANT TO NEW YORK GENERAL OBLIGATIONS LAW SECTION 5-1401, BE GOVERNED BY THE LAW OF THE STATE OF NEW YORK WITHOUT REGARD TO ANY CHOICE OF LAW PRINCIPLES THAT MIGHT CALL FOR THE APPLICATION OF THE LAW OF ANY OTHER JURISDICTION.

This Price Determination Agreement may be signed in two or more counterparts with the same effect as if the signatures thereto and hereto were upon the same instrument.

Exhibit A-2

If the foregoing is in accordance with your understanding of the agreement among the several Underwriters and the Company, please sign and return to the Company a counterpart hereof, whereupon this instrument along with all counterparts and together with the Underwriting Agreement shall be a binding agreement among the several Underwriters and the Company in accordance with its terms and the terms of the Underwriting Agreement.

Confirmed as of the date first above mentioned:

Merrill Lynch, Pierce, Fenner & Smith

Incorporated

Morgan Stanley & Co. LLC

UBS Securities LLC

Wells Fargo Securities, LLC

As Representatives of the several Underwriters

Signature Page to the Price Determination Agreement

Signature Page to the Price Determination Agreement