Which of these best describes why president franklin d. roosevelt created the new deal?

You didn't provide a list of choices, so let me simply provide some explanation.  President Franklin Delano Roosevelt created the New Deal to address the problems of the Great Depression.

The New Deal's three goals were described as "The Three R's" -- relief, recovery, and reform.

Relief measures were aimed at giving immediate attention to problem areas.  Some examples would be the Emergency Banking Act, the Federal Emergency Relief Act, and the Civilian Conservation Corps (which provided jobs).

Recovery measures were aimed at regenerating the economy and stimulating consumer demand.  Some examples would be the Agricultural Adjustment Act (to improve crop prices) and the Home Owners Loan Corporation, which gave loans to homeowners so they could continue paying their mortgages.

Reform measures were longer-term or permanent programs to prevent another Depression and protect against economic disaster.  Some examples: The Securities and Exchange Commission (to regulate the stock market), the Social Security Administration (to provide for older members of society), and the Soil Conservation Act (to prevent another Dust Bowl situation).

a) they had recently endured the tyranny of the british king, parliament, and its royal