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Answer:
The answer is "Expression: x+(x+2)".
Step-by-step explanation:
Given:
The sum of two consecutive even numbers
Proving:
Let,
The First number is = x
The second consecutive number is = x+2
Calculating value by adding value:
Expression:
when x= 1, 2, 3 .... it gives:
That's why the sum of consecutive numbers is even.
let's notice something, the parabola is a vertical one, so the squared variable is the x, and is opening downwards, meaning the x² will have a negative coefficient.
the distance from the vertex to the directrix/focus is the amount of "p" units, let's see in the graph, the distance from the vertex to the directrix is 2, and since the parabola is opening downwards, "p" is a negative 2, p = -2. The vertex is of course at (0, 2).