Algebra 2/trigonometry 1 Quadratic Equations Worksheet Page 3
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18Unit 2: Quadratic Functions Introduction
Application: Volcanoes
Volcanic eruptions can eject lava hundreds of feet into the air, creating spectacular but dangerous “lava
fountains.” As the lava cools and hardens, it may accumulate to form the cone shape of a volcano.
The highest recorded lava fountain occurred during a 1959 eruption at Kilauea Iki Crater in Hawaii. The
graph models the height of a typical lava fragment in the fountain while the fragment is in the air.
1. Estimate the lava fragment’s maximum height above the ground.
2. For how long was the lava fragment in the air?
Quadratic Function
A quadratic function is a function that can be written in the form:
2
�� ( �� ) = ����
+ ���� + ��
where a, b and c are constants and
�� ≠ 0
Graphs of quadratic functions are called parabolas.
Where have you seen this shape before? Not in math class, but in other areas of life? Discuss this and
prepare at least one idea to share with the class.
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