Frequency of Alleles:
- Let's assume that the dominant yellow foot color allele is represented by 'Y' and the recessive blue foot color allele is represented by 'y'.
- Since there are 1,000 penguins in the population, there are a total of 2,000 alleles (2 alleles per penguin).
- Out of these 2,000 alleles, 12 penguins have blue feet, which means there are a total of 24 recessive blue foot color alleles (yy) in the population.

To find the frequency of the blue foot color allele ('y'), we divide the number of recessive alleles by the total number of alleles in the population:
Frequency of 'y' allele = (24 blue alleles) / (2,000 total alleles)
Frequency of 'y' allele = 0.012

Since there are only two possible alleles for this trait (Y and y), the frequency of the dominant yellow foot color allele ('Y') can be calculated by subtracting the frequency of the recessive allele from 1:
Frequency of 'Y' allele = 1 - Frequency of 'y' allele
Frequency of 'Y' allele = 1 - 0.012
Frequency of 'Y' allele = 0.988

Frequency of Genotypes:
- In Hardy-Weinberg equilibrium, the frequencies of the genotypes can be calculated using the allele frequencies.

The possible genotypes are:
1. YY (homozygous dominant)
2. Yy (heterozygous)
3. yy (homozygous recessive)

The frequency of the YY genotype can be calculated by multiplying the frequency of the 'Y' allele by itself:
Frequency of YY genotype = (Frequency of 'Y' allele) * (Frequency of 'Y' allele)
Frequency of YY genotype = 0.988 * 0.988
Frequency of YY genotype = 0.976

The frequency of the Yy genotype can be calculated by multiplying the frequency of the 'Y' allele by the frequency of the 'y' allele and then multiplying the result by 2 (since there are two possible combinations: Yy and yY):
Frequency of Yy genotype = 2 * (Frequency of 'Y' allele) * (Frequency of 'y' allele)
Frequency of Yy genotype = 2 * 0.988 * 0.012
Frequency of Yy genotype = 0.0237

Finally, the frequency of the yy genotype can be calculated by multiplying the frequency of the 'y' allele by itself:
Frequency of yy genotype = (Frequency of 'y' allele) * (Frequency of 'y' allele)
Frequency of yy genotype = 0.012 * 0.012
Frequency of yy genotype = 0.000144

Therefore, the frequencies of the three genotypes in the population are:
- YY genotype: 0.976 (or 97.6%)
- Yy genotype: 0.0237 (or 2.37%)
- yy genotype: 0.000144 (or 0.0144%)