Answers for different section are given below;
What is Function?
The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, given function;
f(x) = -x² - 4x + 6
1. If we take -1 common from the given function, we get
f(x) = -1 (x² + 4x - 6)
f(x) = -1 (x² + 4x) + 6
Thus, first block contains -1 and second block contains 4.
2. Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².
f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6
f(x) = -1 ( x² + 4x + 2²) +4 + 6
Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.
3. Then we factorize the bracket and simplify outside the bracket;
f(x) = -1 (x + 2)² + 10
Thus, first block contains -1, second block contains 2 and third block contains 10.
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