Question

translations of shapes
graph the image of the figure using the transformation given.

1. translation: 1 unit left
2. translation: 1 unit right and 2 units down

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kuta software - infinite pre - algebra

Explanation:

Step1: Recall translation rules

For a translation of 1 unit left, we subtract 1 from the x - coordinates of all points of the figure.

Step2: Apply to first figure

Let the coordinates of the vertices of the first - figure be \((x,y)\). The new coordinates after translation 1 unit left will be \((x - 1,y)\). Plot these new points to get the translated figure.

Step3: Recall second - translation rules

For a translation of 1 unit right and 2 units down, we add 1 to the x - coordinates and subtract 2 from the y - coordinates of all points of the figure. Let the coordinates of the vertices of the second - figure be \((x,y)\). The new coordinates will be \((x + 1,y-2)\).

Step4: Apply to second figure

Plot the points with coordinates \((x + 1,y - 2)\) to get the translated figure.

Since this is a graphical problem about translations of geometric figures on a coordinate - plane, we assume some sample points for illustration.
For the first figure:
Suppose a vertex of the original triangle is \((2,3)\). After translation 1 unit left, the new vertex is \((2-1,3)=(1,3)\). Do this for all vertices and connect the new points.
For the second figure:
Suppose a vertex of the original triangle is \((3,4)\). After translation 1 unit right and 2 units down, the new vertex is \((3 + 1,4-2)=(4,2)\). Do this for all vertices and connect the new points.

The actual graphing should be done on the given coordinate - grid paper.

Answer:

Graph the new figures on the given coordinate grids according to the above - described translation rules for each vertex of the original figures.