Reflections (VCE SSCE Mathematical Methods): Quizzes

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Reflections
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What is a reflection in transformations?

A flip across a mirror line

When reflecting in the xx-axis, which coordinate changes sign?

The yy-coordinate

What is the transformation rule for reflection in the xx-axis?

(x,y)(x,y)(x, y) \to (x, -y)

Where does point (1,1)(1, 1) map when reflected in the xx-axis?

(1,1)(1, -1)

When y=f(x)y = f(x) is reflected in the xx-axis, what is the new equation?

y=f(x)y = -f(x)

When reflecting in the yy-axis, which coordinate stays the same?

The yy-coordinate

What is the transformation rule for reflection in the yy-axis?

(x,y)(x,y)(x, y) \to (-x, y)

Where does point (1,1)(1, 1) map when reflected in the yy-axis?

(1,1)(-1, 1)

When y=f(x)y = f(x) is reflected in the yy-axis, what is the new equation?

y=f(x)y = f(-x)

What visual effect does reflection in the xx-axis have?

Flips the graph vertically

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