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24.12.2019 •
Mathematics
Consider the equivalence relation from example 2, namely, r = {(x, y) | x − y is an integer}. a) what is the equivalence class of 1 for this equivalence relation? b) what is the equivalence class of 1/2 for this equivalence relation?
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Ответ:
y = 1(x - 5)² + 3
Step-by-step explanation:
The general formula of a quadratic equation is written as;
y = a(x − h)² + k
Where (h, k) are the x and y coordinates at the vertex.
Our vertex coordinate is (5, 3)
Thus;
y = a(x - 5)² + 3
Now,we are given another coordinate as (8, 12)
Thus;
12 = a(8 - 5)² + 3
12 = 9a + 3
9a = 12 - 3
9a = 9
a = 9/9
a = 1
Thus,the equation is;
y = 1(x - 5)² + 3