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

Answer:

Rule is (x, y+k)

New point is (-3,9)

Step-by-step 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 ;

$A=(\frac{x}{y} )\\\\T=(0,k)\\\\A'=(\frac{x}{y} )+(\frac{0}{k} )=(\frac{0+x}{y+k} )\\\\A'=\frac{x}{y+k} =(x,y+k)$

where T is the translation

In the question

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

$=(\frac{-3}{4}) +(\frac{0}{5} )=\frac{-3}{9} =(-3,9)$