Exploring Quadratic Functions
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Exploring Quadratic Functions
📊 Part 1: Key Features of Quadratic Functions
Turning point: ( _____ , _____ )
🛹 Part 2: Real-World Applications
a) What is the maximum height of the ramp? _________ metres
b) At what horizontal distance does the ramp reach its maximum height? _________ metres
a) What is the initial height of the water? _________ metres
b) After how many seconds does the water reach its maximum height?
c) What is the maximum height reached by the water?
🎯 Part 3: Design Challenge
a) If you place the vertex at (6, 8), write a possible quadratic equation for the arch in the form y = a(x - h)² + k.
b) Sketch your bridge arch on the coordinate plane below, labelling key points.
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