Transformations (HSC SSCE Mathematics Advanced): Quizzes

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Reflections in Axes
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To reflect y=f(x)y = f(x) in the y-axis, what replacement must be made?

Replace xx with x-x

To reflect y=f(x)y = f(x) in the x-axis, what transformation is applied?

Negate the entire function

In a y-axis reflection, which coordinate changes sign?

The x-coordinate

In an x-axis reflection, which coordinate remains unchanged?

The x-coordinate

What is the equation after reflecting y=x3y = x^3 in the y-axis?

y=x3y = -x^3

What is the equation after reflecting y=2x+1y = 2x + 1 in the x-axis?

y=2x1y = -2x - 1

A point at (3,5)(3, 5) reflected in the y-axis maps to which point?

(3,5)(-3, 5)

A point at (4,2)(4, -2) reflected in the x-axis maps to which point?

(4,2)(4, 2)

A y-axis reflection creates which type of flip?

A horizontal flip

What happens to points on the y-axis when reflected in the y-axis?

They remain unchanged

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