# Complete Quadratic Graph Tables

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)

Difficulty level:

### QUESTION 1 of 10

Before plotting the graph of a quadratic equation, it's useful to draw out and complete a table.

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.

A = x2 when x = -1

Therefore, A = (-1)2 = 1

B = 1 - 2 = -1

C = 0 - 2 = -2

D = x2 when x = 1 so D = (1)2 = 1

E = 4 - 2 = 2

F = -2 like the rest of that row

G = x2 - 2 when x = 3 so G = (3)2 - 2 = 9 - 2 = 7

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

Complete the following graph table by matching the correct values to the letters.

## Column B

A
3
B
1
C
-1
D
0
E
-1
F
8
G
1

Complete the following graph table by matching the correct values to the letters.

## Column B

A
4
B
-4
C
-5
D
4
E
4
F
-5
G
-1

Complete the following graph table by matching the correct values to the letters.

## Column B

A
B
C
9
D
4
E
F
G

Complete the following graph table by matching the correct values to the letters.

## Column B

A
-3
B
5
C
15
D
4
E
18
F
8
G
-3

Complete the following graph table by matching the correct values to the letters.

## Column B

A
27
B
-5
C
-5
D
22
E
9
F
7
G
12

Complete the following graph table by matching the correct values to the letters.

## Column B

A
2
B
2
C
36
D
64
E
144
F
146
G
66

Complete the following graph table by matching the correct values to the letters.

## Column B

A
-2
B
-14
C
-34
D
-16
E
-36
F
36
G
2

Complete the following graph table by matching the correct values to the letters.

## Column B

A
-70
B
-72
C
-32
D
36
E
-6
F
2
G
-30

Complete the following graph table by matching the correct values to the letters.

## Column B

A
2
B
3
C
6
D
9
E
11
F
36
G
4

Complete the following graph table by matching the correct values to the letters.

## Column B

A
36
B
12
C
27
D
19
E
4
F
4
G
-5
• Question 1

Complete the following graph table by matching the correct values to the letters.

## Column B

A
1
B
0
C
-1
D
1
E
3
F
-1
G
8
EDDIE SAYS
In the table above the x values range from -3 to +3. B, C, E and G are values of y. A and D are values of x². The row in which F sits, is always -1. A = x² when x = -1 Therefore, A = (-1)² = 1 B = (-1)² - 1 = 0 C = (-1)² - 0 = 1 D = 1² = 1 E = 2² - 1 = 3 F = -1 like the rest of that row G = 3² - 1 = 8
• Question 2

Complete the following graph table by matching the correct values to the letters.

## Column B

A
4
B
-4
C
-5
D
4
E
-1
F
4
G
-5
EDDIE SAYS
In the table above the x values range from -3 to +3. B, C, E and F are values of y. A and D are values of x². A = x² when x = -2 Therefore, A = (-2)² = 4 B = (-1)² - 5 = -4 C = (0)² - 5 = -5 D = 2² = 4 E = 2² - 5 = -1 F = 3² - 5 = 4 G = -5 like the rest of that row Take a deep breath, you've got this!
• Question 3

Complete the following graph table by matching the correct values to the letters.

## Column B

A
4
B
C
D
9
E
F
G
EDDIE SAYS
In the table above the x values range from -3 to +3. B, C, E, F and G are values of y. A and D are values of x². A = x² when x = -2 Therefore, A = (-2)² = 4 B = -½ like the rest of that row C = (0)² -½ = -½ D = 3² = 9 E = 2² -½ = 3½ F = 3² - ½ = 8½ G = -½ like the rest of that row Hopefully, this is beginning to make sense.
• Question 4

Complete the following graph table by matching the correct values to the letters.

## Column B

A
4
B
8
C
-3
D
18
E
-3
F
5
G
15
EDDIE SAYS
A = x² when x = -2 Therefore, A = (-2)² = 4 B = 2(-2²) = 8 C = 0 - 3 = -3 D = 2(3²) = 18 E = -3 like the rest of that row F = 2(2²) - 3 = 5 G = 2(3²) - 3 = 15 Phew, these questions are challenging! Let's keep pushing on.
• Question 5

Complete the following graph table by matching the correct values to the letters.

## Column B

A
9
B
12
C
-5
D
27
E
-5
F
7
G
22
EDDIE SAYS
A = x² when x = -3 Therefore, A = (-3)² = 9 B = 3(-2²) = 12 C = 0 - 5 = -5 D = 3(3²) = 27 E = -5 like the rest of that row F = 3(2²) - 5 = 7 G = 3(3²) - 5 = 22 You're now halfway through.
• Question 6

Complete the following graph table by matching the correct values to the letters.

## Column B

A
36
B
64
C
2
D
144
E
2
F
66
G
146
EDDIE SAYS
A = x² when x = -6 Therefore, A = (-6)² = 36 B = 4(-4²) = 64 C = 0 + 2 = 2 D = 4(6²) = 144 E = +2 like the rest of that row F = 4(4²) + 2 = 66 G = 4(6²) + 2 = 146
• Question 7

Complete the following graph table by matching the correct values to the letters.

## Column B

A
36
B
-16
C
2
D
-36
E
-2
F
-14
G
-34
EDDIE SAYS
A = x² when x = -6 Therefore, A = (-6)² = 36 B = (-4²) = -16 C = 0 + 2 = 2 D = -6² = -36 E = (-2²) + 2 = -2 F = -4² + 2 = -14 G = -6² + 2 = -34
• Question 8

Complete the following graph table by matching the correct values to the letters.

## Column B

A
36
B
-32
C
2
D
-72
E
-6
F
-30
G
-70
EDDIE SAYS
A = x² when x = -6 Therefore, A = (-6)² = 36 B = -2(-4²) = -32 C =-2(0) + 2 = 2 D = -2(6²) = -72 E = -2(-2²) + 2 = -6 F = -2 (-4²) + 2 = -30 G = -2(6²) = -70
• Question 9

Complete the following graph table by matching the correct values to the letters.

## Column B

A
36
B
4
C
2
D
9
E
3
F
6
G
11
EDDIE SAYS
A = x² when x = -6 Therefore, A = (-6)² = 36 B = ¼(-4²) = 4 C = ¼(0²) + 2 = 2 D = ¼(6²) = 9 E = ¼(-2²) + 2 = 3 F = ¼(4²) + 2 = 6 G = ¼(2²) + 2 = 11 One more question to go. You're making fantastic progress and really consolidating your knowledge with these lengthy questions.
• Question 10

Complete the following graph table by matching the correct values to the letters.

## Column B

A
36
B
12
C
4
D
27
E
-5
F
4
G
19
EDDIE SAYS
A = x² when x = -6 Therefore, A = (-6)² = 36 B = ¾(-4²) = 12 C = ¾(-8²) - 8 = 4 D = ¾(6²) = 27 E = ¾(-2²) - 8 = 3 F = ¾(4²) - 8 = 4 G = ¾(6²) - 8 = 19 Great focus! You're now a pro at graph tables. Why not take a well-deserved break?
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