The function in vertex form is

(refer to your other post I solved it there).
The general form of quadratic equations in vertex form is

, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.
Answer:
No, because the probabilities of drawing a vowel versus a constant are not equally likely.
Step-by-step explanation:
Each number in a random number generator is equally likely. If she assigns only the number 1 to vowels and only the number 2 to consonants, she will get results showing that they are equally likely.
In reality, 5 of the 26 letters are vowels (not including y). The teacher should assign numbers 1 through 5 to vowels, and numbers 6 through 26 to consonants. This will be a fair representation.