QUADRATIC AND
CUBIC GRAPHS
Name: _______________________
Total Marks: ___________
Q.
1
2
3
4
5
6
7
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Max Actual RAG
4
4
3
4
4
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Q1. a) Complete the table of values for y = x2 - 3x – 1
x
-2
y
-1
0
1
3
-1
-3
2
3
4
-1
(2 Marks)
b) On the grid draw the graph of y = x2 - 3x – 1 for values of x from -2 to 4.
(2 Marks)
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Q2. a) Use the graph paper below to draw the graph of y = x2 + x – 3
x
-4
y
9
-3
-2
-1
-1
-3
0
1
2
-1
(2 Marks)
b) On the grid draw the graph of y = x2 + x – 3for values of x from -4 to 2.
(2 Marks)
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Q3. During an experiment the value of a variable y was found for different
values of x. The results are recorded in the following table.
x
1
2
3
4
5
y
190
170
130
70
0
On the graph paper below, plot the values of y against the values of x2.
(3 Marks)
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Q4. The table below shows values of y = 2x2 – 5x – 7 for the values of x
from -2 to 4.
x
-2
-1
0
1
2
y
11
0
-7
10
-9
3
4
5
a) Complete the table above
(1 Mark)
b) On the graph paper below draw the graph of y = 2x2 – 5x – 7 for the
values of x from -2 to 4.
(2 Marks)
c) Write down the x-coordinates of the points where the curve
y = 2x2 – 5x – 7 intersects the x-axis.
(1 Mark)
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Q5. The table shows some of the values of y = 4x3 + 3 for the values of x
from -2 to 2.
a) Complete the table by finding the value of y for x = -1
x
-2
y = 4x3 + 3
-29
-1
0
1
2
3
7
35
b) On the grid, draw the graph of y = 4x3 + 3, for values of x from -2 to 2
.
(1 Mark)
(2 Marks)
c) Use your graph of y = 4x3 + 3 to find the value of x for which
4x3 + 3 = -20
(1 Mark)
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