Question

Write the rule for finding a point translated vertically k units up. 2. Use this rule to find the coordinates for (−3, −6) when translated 5 units up.

Answer 1

Rule is (x, y+k)

New point is (-3,9)

Explanation:

A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units

This can be represented mathematically as;

Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.

Given ;

`A=((x)/(y) )\\\\T=(0,k)\\\\A'=((x)/(y) )+((0)/(k) )=((0+x)/(y+k) )\\\\A'=(x)/(y+k) =(x,y+k)`

where T is the translation

In the question

Given (-3,-6) and T is (0,5) the new coordinate will be

`=((-3)/(4)) +((0)/(5) )=(-3)/(9) =(-3,9)`