1. XINMIN SECONDARY SCHOOL
MATHEMATICS DEPARTMENT
Sec 2 Express
Worksheet: Graphs of Quadratic Equations
Name : ( ) Class: Date:
Steps to use Nspire
1. Start Nspire.
2. Open the file: Quadratic Equations.tns.
3. Explore the effects of a, b and c by moving the slider.
Self-Exploration
1. By varying the values of a, b, and c, complete the following table.
Quadratic Shape Coefficient Coordinates of Equation of the
Equations of x2 Max or Min point Line of Symmetry
(a) y = x2 + 1
(b) y = – x2 + 1
(c) y = x2 + 2x + 2
(d) y = 3 + 2x – 2x2
(e) y = x2 – 5x + 4
(f) y = 3x2 + 4x – 7
(g) y = x – 2x2
Graphs of Quadratic Functions pg 1

2. Summary of findings
1. When the coefficient of x2 is positive, the graph of the quadratic equation opens
and it has a point.
2. When the coefficient of x2 is negative, the graph of the quadratic equation opens
and it has a point.
3. The graph of a quadratic equation is symmetrical. The line of symmetry is parallel to the
axis and it passes through the point or the
point.
Exercise
1. Sketch the following graphs in the box provided indicate clearly the maximum or minimum points.
(a) y = x2 – 6x + 10 (b) y = – x2 – 6x – 11
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Graphs of Quadratic Functions pg 2