Question

Select from the drop-down menus to correctly complete the statement.

The rule (x, y)→(x−6, y−7) represents a translation 6 units ---- and 7 units ---- .

Drop down menu options:
Right
Left
Up
Down

Answer 1

Left and down.

Explanation:

The rule (x, y)→(x−6, y−7) represents a translation 6 units 1left and 7 units 2down.

Took the k12 test.

Answer 2

Hence the correct statement of the given rule is:

The rule (x, y)→(x−6, y−7) represents a translation 6 units left and 7 units down.

Explanation:

We are given a rule of transformation as:

(x, y)→(x−6, y−7)

As we know that if there is a shift in the coordinates of x and y some units than the transformation that holds is a translation transformation.

Now from the rule we may observe that the x-ordinate is shifted 6 units to the left and the y-ordinate is shifted 7 units down.

( Since if there was a triangle whose one vertex was at (0,0)

Now the transformed triangle has that transformed vertex at (-6,-7) )