Problem Solving

No 01

The given diagram shows the graph \(y = f(x)\).


Rendered by


The curve undergoes in succession, the following transformations:

    • A translation of 3 units in the negative direction of the x-axis
    • A scaling parallel to the x-axis by a factor \(\frac 12\)

Find the equation of the resulting curve in the form \(y = f(ax + b)\) where a and b are constants to be found.

Sketch the graph of the resulting equation.

(Next Lesson) No 02
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Problem Solving