Combinations of Transformations (VCE SSCE Mathematical Methods): Quizzes

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Combinations of transformations
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Why does the order of transformations matter?

Different sequences produce different results

What is the mapping for dilation factor 22 from xx-axis then reflection in xx-axis?

(x,y)(x,2y)(x,2y)(x, y) \to (x, 2y) \to (x, -2y)

After dilation factor 22 from xx-axis then reflection in xx-axis, y=xy = \sqrt{x} becomes?

y=2xy = -2\sqrt{x}

In the 5-step method, what do (x,y)(x', y') represent?

Coordinates of the image point

For y=xy = \sqrt{x}: dilation factor 22 from xx-axis, then translate 22 right, 33 down gives?

y=2x23y = 2\sqrt{x-2} - 3

Point (1,1)(1, 1) under dilation factor 22 from xx-axis then reflection in xx-axis goes to?

(1,2)(1, -2)

y=xy = \sqrt{x}: translate 66 left, reflect in yy-axis, dilate factor 22 from xx-axis gives?

y=26xy = 2\sqrt{6-x}

y=x2y = x^2: translate 11 right 22 up, dilate factor 22 from yy-axis, reflect in xx-axis gives?

y=14(x2)22y = -\frac{1}{4}(x-2)^2 - 2

What is the mapping for a reflection in the yy-axis?

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

What helps when sketching the result of multiple transformations?

Draw each stage separately

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