Stretches (Edexcel A-Level Mathematics): Quizzes

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Stretches
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Which expression represents a vertical stretch of f(x)f(x) by a constant aa?

y=af(x)y = af(x)

For y=af(x)y = af(x), when does a vertical stretch (not compression) occur?

∣a∣>1|a| > 1

In a vertical stretch where ∣a∣>1|a| > 1, how do points move?

Further away from the x-axis

Which expression represents a horizontal stretch of f(x)f(x) by a constant bb?

y=f(xb)y = f\left(\frac{x}{b}\right)

For y=f(xb)y = f\left(\frac{x}{b}\right), when does a horizontal stretch occur?

∣b∣>1|b| > 1

In a horizontal stretch where ∣b∣>1|b| > 1, how do points move?

Away from the y-axis

What transformation is y=2x2y = 2x^2 from f(x)=x2f(x) = x^2?

Vertical stretch by factor 2

If f(x)=x2f(x) = x^2, what is the stretch factor in y=f(x2)y = f\left(\frac{x}{2}\right)?

Horizontal stretch by factor 2

For y=3sin⁡(x)y = 3\sin(x), what happens to the amplitude?

Increases from 1 to 3

What do vertical stretches affect, compared to horizontal stretches?

Output (y-values) vs input (x-values)

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