Coordinate Plane Transformations Flashcards

Question 1

What is the translation rule that moves a point right $a$ and up $b$?

Accepted Answer

$$(x,y) o (x+a,\,y+b)$$ where $a$ is the horizontal change (right if $a>0$, left if $a<0$) and $b$ is the vertical change (up if $b>0$, down if $b<0$).

Question 2

What is the reflection rule over the $y$-axis?

Accepted Answer

$$(x,y) 	o (-x,y)$$ The $y$-coordinate stays the same and the $x$-coordinate changes sign.

Question 3

What is the dilation rule about the origin with scale factor $k$?

Accepted Answer

$$(x,y) 	o (kx,\,ky)$$ If $|k|>1$ the figure enlarges; if $0<|k|<1$ it shrinks.

Coordinate Plane Transformations Flashcards

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