Question

Given A DEF with D(5,-2), E(-3, 4), and F(-5, -6). Find the image points after: A reflection over the y axis, then a translation of (x,y) - (x + 1, y-4).

Answer 1

D'' (-4,-6)

E'' (4,0)

F'' (6,-10)

Explanation:

When the object is reflected over the y axis, the coordinates (x,y) changes to (-x,y)

so for D (5,-2) -------- D'(-5,-2)

E (-3,4) -------- E' (3,4)

F (-5,-6) ------- F'(5,-6)

The image D'E'F' is then translated using (x,y) ------ (x+1 , y-4)

D'(-5,-2) ------ (-5+1,-2-4) ------- D'' (-4,-6)

E' (3,4 ) --------( 3+1 , 4-4) ------- E'' (4,0)

F'(5,-6) --------- ( 5+1, -6-4) ------ F'' (6,-10)

The image points are ;

D'' (-4,-6)

E'' (4,0)

F'' (6,-10)