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Complete Quadratic Graph Tables

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

'Complete Quadratic Graph Tables ' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Linear Equations (Two Variables) and Gradients

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Before plotting the graph of a quadratic equation, it is often helpful to draw out and complete a table first.

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

 

Example

Complete the following graph table.

 

 

Answer

Here the x values range from -3 to +3.

A = x2 when x = -2 so A = (-2)2 = 4

B = -4 like the rest of that row

C = 0 + 0 + -4 = -4

D = x2 when x = 3 so D = (3)2 = 9

E = 12 + 4 - 4 = 12

F = 27 + 6 - 4 = 29

G = 2x when x = 2 so G = 2 x 2 = 4

 

Now it's over to you!

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

 

 

Column A

Column B

A
9
B
4
C
4
D
11
E
-4
F
-4
G
4

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

 

 

Column A

Column B

A
-4
B
-4
C
-4
D
-1
E
4
F
-4
G
9

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

 

 

Column A

Column B

A
9
B
8
C
4
D
2
E
9
F
-6
G
4

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

 

 

Column A

Column B

A
12
B
23
C
-9
D
-4
E
9
F
12
G
9

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

 

 

Column A

Column B

A
1
B
9
C
4
D
E
1
F
-3½
G
-4

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

 

 

Column A

Column B

A
36
B
112
C
-8
D
0
E
32
F
48
G
12

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

 

 

Column A

Column B

A
-12
B
0
C
48
D
8
E
88
F
8
G
36

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

 

 

Column A

Column B

A
12
B
93
C
72
D
33
E
-8
F
21
G
13

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

 

 

Column A

Column B

A
70
B
72
C
4
D
2
E
-2
F
25
G
3

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

 

 

Column A

Column B

A
27
B
21
C
11
D
1
E
27
F
-1
G
2
  • Question 1

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

 

 

CORRECT ANSWER

Column A

Column B

A
4
B
-4
C
-4
D
4
E
9
F
11
G
4
EDDIE SAYS
A = x² when x = -2 so A = (-2)² = 4 B = -4 like the rest of that row C = 0 + 0 + -4 = -4 D = 2x when x = 2 so D = 2(2) = 4 E = 3² = 9 F = 3² + 6 - 4 = 11 G = 4 + 2(2) - 4 = 4 How did you get on with your first question?
  • Question 2

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

 

 

CORRECT ANSWER

Column A

Column B

A
4
B
-4
C
-4
D
-4
E
9
F
-1
G
-4
EDDIE SAYS
A = x² when x = -2 so A = (-2)² = 4 B = -4 like the rest of that row C = 0 - 2(0) - 4 = -4 D = -2 x 2 = -4 E = 3² = 9 F = 3² - 2(3) - 4 = -1 G = 4 - 4 - 4 = -4 Don't panic if you're still struggling to find the value of x and y. The best method is to write down your workings for each number, so that you can see where you went wrong.
  • Question 3

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

 

 

CORRECT ANSWER

Column A

Column B

A
9
B
4
C
8
D
-6
E
9
F
4
G
2
EDDIE SAYS
A = x² when x = -3 so A = (-3)² = 9 B = - 4 like the rest of that row C = -1² + 3 + 4 = 8 D = -3 x 2 = -6 E = 3² = 9 F = 3² - 9 + 4 = 4 G = 2² - 6 + 4 = 2 By this point you should be starting to feel more confident! You can always turn back to the introduction to read the explanation again.
  • Question 4

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

 

 

CORRECT ANSWER

Column A

Column B

A
9
B
-4
C
-9
D
12
E
9
F
23
G
12
EDDIE SAYS
A = x² when x = -3 so A = (-3)² = 9 B = - 4 like the rest of that row C = -1² - 6 - 4 = -9 D = 6 x 2 = 12 E = 3² = 9 F = 3² + 18 - 4 = 23 G = 4 + 12 - 4 = 12 Great focus, you're almost halfway through the activity.
  • Question 5

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

 

 

CORRECT ANSWER

Column A

Column B

A
9
B
-4
C
-3½
D
1
E
4
F
G
1
EDDIE SAYS
A = x² when x = -3 so A = (-3)² = 9 B = - 4 like the rest of that row C = -1² - 0.5x - 4 = -3.5 D = 0.5 x 2 = 1 E = 2² = 4 F = 9 x 1.5 - 4 = 6.5 G = 2² + 1 - 4 = 1
  • Question 6

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

 

 

CORRECT ANSWER

Column A

Column B

A
36
B
-8
C
32
D
12
E
0
F
48
G
112
EDDIE SAYS
A = x² when x = -6 so A = (-6)² = 36 B = 2 x -4 = -8 C = 48 - 8 - 8 = 32 D = 2 x 6 = 12 E = 12 - 4 - 8 = 0 F = 4² x 3 = 48 G = 108 + 12 - 8 = 112
  • Question 7

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

 

 

CORRECT ANSWER

Column A

Column B

A
36
B
8
C
48
D
-12
E
8
F
0
G
88
EDDIE SAYS
A = x² when x = -6 so A = (-6)² = 36 B = 2 x -4 = -8 C = 48 + 8 - 8 = 48 D = -2 x 6 = -12 E = 12 + 4 - 8 = 8 F = 12 - 4 - 8 = 0 G = 108 - 12 - 8 = 88
  • Question 8

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

 

 

CORRECT ANSWER

Column A

Column B

A
72
B
-8
C
33
D
12
E
13
F
21
G
93
EDDIE SAYS
A = 36 x 2 = 72 B = -4 x 2 = -8 C = 32 - 8 + 9 = 33 D = 2 x 6 = 12 E = 8 - 4 + 9 = 13 F = 8 + 4 + 9 = 21 G = 72 + 12 + 9 = 93
  • Question 9

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

 

 

CORRECT ANSWER

Column A

Column B

A
72
B
-2
C
25
D
3
E
2
F
4
G
70
EDDIE SAYS
A = 36 x 2 = 72 B = 0.5 x -4 = -2 C = 32 - 2 - 5 = 25 D = 0.5 x 6 = 3 E = 8 - 1 - 5 = 2 F = 8 + 1 - 5 = 4 G = 72 + 3 - 5 = 70
  • Question 10

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

 

 

CORRECT ANSWER

Column A

Column B

A
27
B
2
C
11
D
27
E
1
F
-1
G
21
EDDIE SAYS
A = 0.75 x 36 = 27 B = -0.5 x -4 = 2 C = 12 + 2 - 3 = 11 D = 0.75 x 36 = 27 E = (0.75 x 4) + 1 - 3 = 1 F = 3 - 1 - 1 = -1 G = 27 - 3 - 3 = 21 Fantastic focus! That's another activity completed.
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