**Answers** for **different section** are given below;

<h3>What is Function?</h3>

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**.

Learn more about **Function **from:

**brainly.com/question/12431044**

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