When plotting the graph of a quadratic equation, it's useful to draw out and complete a table so that we can find our coordinates to plot.

The x values are fixed and the corresponding y values are calculated.

**Example:**

Complete the following graph table:

**Answer:**

In the table above, the x values range from -3 to +3.

To calculate our values for the y coordinates, we need to substitute the given values of x into the equation for the quadratic curve.

Likewise, if we are given the y coordinates we can substitute these values into the equation and solve.

**Method**

**A** = x^{2} when x = -1

Therefore, **A** = -1^{2} = **1**

**B** = 1 - 2 =** -1**

**C** = 0 - 2 = **-2**

**D** = x^{2} when x = 1 so **D** = 1^{2} = **1**

**E** = 4 - 2 = **2**

**F** = **-2** like the rest of that row

**G** = x^{2} - 2 when x = 3 so **G** = 3^{2} - 2 = 9 - 2 = **7**

Let's consolidate this knowledge by working through some questions together.