Worksheet #1

March 2/3, 2009 / Text book sections: 4.2 – Graphing, , and
4.3 – Graphing
MPM2D1 / Name: ______

Graphing Quadratics – H & K ()

The simplest quadratic function is . Sometimes it is referred to as a ______-shaped curve. Its graph is a parabola. The axis of symmetry is a vertical line that divides the parabola exactly in half. The vertex of the parabola is the point at which the graph intersects the axis of symmetry. The vertex of the graph of a quadratic function is either the maximum (highest) point when the graph opens ______or the minimum (lowest) point when the graph opens ______.

A. Graphing

1. Complete each table of values and graph each quadratic function on the same graph below.

(a) / (b) / (c)
x / y
-2
-1
0
1
2
/ x / y
-2
-1
0
1
2
/ x / y
-2
-1
0
1
2

/ Vertex / Axis of Symmetry



(d) / (e) / (f)
x / y
-2
-1
0
1
2
/ x / y
-2
-1
0
1
2
/ x / y
-2
-1
0
1
2

/ Vertex / Axis of Symmetry



Conclusions about .


2. State the equation of each parabola. Also state the domain & range.

B. Graphing

1. Complete each table of values and graph each quadratic function.

(a) / (b) / (c)
x / y
-8
-7
-6
-5
-4
/ x / y
-1
0
1
2
3
/ x / y
2
3
4
5
6

/ Vertex / Axis of Symmetry




Conclusions about .

2. State the equation of each parabola. Also state the domain & range.

HOMEWORK:

Graph each parabola and state the following:

a. vertex

b. axis of symmetry

c. direction of opening

d. domain and range

1.

2.

3.

4.

5.

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7.

8.