### Comprehensive & curriculum aligned

In this worksheet, students will learn how to complete tables that represent quadratic graphs.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Linear and Quadratic Graphs (One Variable)

Popular topics:   Algebra worksheets

Difficulty level:

#### Worksheet Overview

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:

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 = x2 when x = -1

Therefore, A = -12 = 1

B = 1 - 2 = -1

C = 0 - 2 = -2

D = x2 when x = 1 so D = 12 = 1

E = 4 - 2 = 2

F = -2 like the rest of that row

G = x2 - 2 when x = 3 so G = 32 - 2 = 9 - 2 = 7

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

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