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Algebra Booster 3 – Drawing Quadratic Graphs
36S)
Complete the table for the equation
y = 3x2 – x
Complete the table for the equation
y = 3x2 – x
x –2 –1
0
1
2
Check:
36S)
a)
x
–2
y
14
–1
a)
y
0
1
14
Grade C
–2 –1
0
Clip
116of y = 3x14 – x on
4 the0
Draw
the graph
2
2
b)
Grade C
Clip 116
1
2
2
10
axes at the bottom of the page
Draw the graph of y = 3x2 – x c)
on theUse your graph to find the value of y
axes at the bottom of the page
when x = 1.5
Use your graph to find the value
d) of yUse your graph to find
c)the value
5.3 of y
when x = 1.5
when x = –1.5
2
Use your graph to find the value
e) of yUse your graph to solve
– x = 10
d) 3x8.25
when x = –1.5
Use your graph to solve 3x2 – x = 10
e) x = –1.7 and x = 2
b)
c)
d)
e)
c
d
e
y
14
y
13
14
12
13
11
12
10
11
9
10
8
9
7
8
6
7
5
6
4
5
3
4
2
3
1
2
1
-2
-1
-1
-2
-1
O
-1
1
2
x
O
3
-2
1
x
2
3
Learn:
Maths Watch Reference - 116
Plotting quadratic graphs is similar to linear graphs, You will be asked to
complete a table of values from which you can plot points on the graph. You may
then be asked to use your graph to find values, usually when y = 0.
Practice:
© Mathswatch
1)
Drawing Quadratic Graphs
Clip 116
a) Complete the table of values for y = 2x2 – 3x
x
-2
y
14
-1
0
1
2
3
0
9
b) On the grid, draw the graph of y = 2x2 – 3x for values of x from -2 to 3
y
20
15
10
5
-2
x
O
-1
1
2
3
-5
c) Use the graph to find the value of y when x = -1.5
d) Use the graph to find the values of x when y = 4
2)
a) Complete the table of values for y = x2 – 2x
x
-2
y
8
-1
0
0
2
1
2
3
d) Use the graph to find the values of x when y = 4
2)
a) Complete the table of values for y = x2 – 2x
x
-2
y
8
-1
0
1
2
3
0
b) On the grid, draw the graph of y = x2 – 2x for values of x from -2 to 3
y
10
5
-2
-1
O
x
1
2
3
-5
c) (i) On the same axes draw the straight line y = 2.5
(ii) Write down the values of x for which x2 – 2x = 2.5
Exam Preparation:
Page 108
Confirm:
36T) a)
36T) a)
Complete the table for the equation
y = 2x2 – 3x
Complete the table for the equation
y = 2x2 – 3x
x
–2
y
14
–1
0
1
2
–2
x
–1
0
1
2
3
y
3
b)
14
Grade
C –2 –1 0 1
14
5
0 –1
Clip
116
Draw the
graph of y = 2x – 3x on the
2
Grade C
Clip
116
2
3
2
9
axes at the bottom of the page
Draw the graph of y = 2x – 3x on the
c) Use your graph to find the value of y
axes at the bottom of the page
when x = 2.3
Use your graph to find the value ofd)y Use your graph to
c)find3.6
the value of y
when x = 2.3
when x = –1.5
Use your graph to find the value ofe)y Use your graph to
d) solve
9 2x2 – 3x = 5
when x = –1.5
f) Use your graph to solve 2x2 – 3x = 8
Use your graph to solve 2x2 – 3x = 5
e) x = –1 and x = 2.5
2
y
Use your graph to solve 2x – 3x = 8
f) x = –1.3 and x = 2.9
2
b)
c)
d)
e)
f)
14
y
14
13
13
12
12
11
11
10
10
9
9
8
8
7
6
7
5
6
4
5
3
4
2
3
1
2
1
-2
-1
-2
-1
O
-1
-2
1
2
x
O
-1
3
-2
1
x
2
3