Translations (VCE SSCE Mathematical Methods): Quizzes

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Translations
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What is a transformation of the plane?

A rule mapping each point to one new point

Under translation 2 right and 4 up, where does (3,2)(3, 2) map to?

(5,6)(5, 6)

How do we write a translation hh units right and kk units up?

(x,y)(x+h,y+k)(x, y) \rightarrow (x + h, y + k)

When translating right by hh, what do we replace xx with in the equation?

xhx - h

What is the equation when y=x2y = x^2 is translated 1 unit right?

y=(x1)2y = (x - 1)^2

What is the equation when y=x2y = x^2 is translated 1 unit up?

y=x2+1y = x^2 + 1

For translation (x,y)(x+h,y+k)(x, y) \rightarrow (x + h, y + k), what is the general formula?

yk=f(xh)y - k = f(x - h)

If x=x+3x' = x + 3, how do we express original xx in terms of xx'?

x=x3x = x' - 3

Translating y=1xy = \frac{1}{x} by 3 right and 2 down gives which equation?

y=1x32y = \frac{1}{x - 3} - 2

During a translation, how do points move?

Same distance in same direction

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