Quadratic Relationships

By: Harman Virk

LEARNING GOALS

First/Second Differences

Transformations

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Determining an equation using 2 points

Learning Goal 3

SUMMARY OF THE UNIT

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The Step Pattern

How the step pattern works

The odd numbers (1,3,5) are multiplied by the "a" value. In the first example the numbers are multiplied by 1, in the second example the numbers are multiplied by 2 because that is the value of "a".

GRAPH

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WORD PROBLEM USING VERTEX FORM

The flight path of a firework is modeled by the relation h=-5(t-5)2+127 where h is the height, in metres, of the firework above the ground and t is the time, in seconds, since the firework was fired.



a) What is the maximum height reached by the firework?


The maximum height is 127 m.


b) How many seconds after it was fired does the firework reach this height?


The firework reaches 127 m after 5 seconds.

VIDEO

Video Using Transformations