Quadratic Graphs
1)
a. Complete the table for y = x2 - 3x
and plot the graph on the opposite
grid.
.
x
y
4
3
2
-1
0
1
2
3
4
1
x2
-2
-3x
-1
0
1
2
3
4
5
x
-1
y
-2
b. What are the coordinates of the
lowest point on the graph.
-3
2)
a. Complete this table for y = x2 – 4x – 3
and plot the graph on the opposite grid.
x
y
4
3
-1
0
1
2
3
4
5
2
1
x2
-2 -1 0
-1
-4x
-2
-3
-3
-4
y
-5
b. What are the coordinates of the
lowest point on the graph.
-6
-7
-8
-9
J. Mills-Dadson
-1 0
1
2
3
4
5
x
Quadratic Graphs - Extension
3)
a. Complete the following table for
y = 2x2 – 3x – 4 and plot the graph on
the opposite grid.
x
-1 0
1
2
3
x2
2x2
-3x
-4
y
b. Write down the coordinates of the
lowest point of the graph.
c. Build your own table for y = -x2 -2x + 4
d.
Draw the graph of y = -x2 -2x + 4 on
the same grid opposite.
y
5
4
3
2
1
-3 -2 -1 0
-1
1
2
3
4
5
x
6
-2
-3
-4
-5
-6
-7
-8
-9
-1 0
-1 1
e. What can you say about the shapes of
the two graphs and why?
4) Below is a table of values for equation
y = x2 + 4x – 1
x -5 -4 -3 -2 -1 0 1 2
y
4
-4
a. Fill in the missing values of y in the
table.
b. On the opposite grid, draw the graph
of y = x2 + 4x – 1
c. From the graph estimate the values
of x for which y = 2
x = .................
x = ...................
J. Mills-Dadson
-1 2
y
12
11
10
9
8
7
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
-6
-7
-8
1
2
3
x