Reverse Engineering Function Transformations

00:00 4 marks

Given the final transformed function \( g(x) = -3(x+4)^2 + 2 \), identify the sequence of transformations applied to the base function \( f(x) = x^2 \). List each transformation step by step.

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Hint

Consider the operations inside and outside the square to determine shifts, reflections, and stretches.

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A sequence of transformations: 1) Horizontal shift 4 units left; 2) Vertical stretch by factor 3 combined with a reflection in the x-axis; 3) Vertical shift 2 units up.

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Reverse Engineering Function Transformations

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Reverse Engineering Function Transformations

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