Question

each transformation is performed on the line with the equation y=2x-1. write the equation of the new line. vertical translation down 3 units, slope increased by 4, slope divided in half, and shifted up 1 unit.

Answer 1

Answer:

y2= 2x-4

y3=6x-1

y4= x-1

y5=2x

Step-by-step explanation:

for y=2x-1

1) for a vertical translation down of 3 units

y2= y-3 =(2x-1)-3= 2x-4

y2= 2x-4

2) for a slope increased by 4

y3= y+ 4x = 2x-1 +4x = 6x-1

y3=6x-1

3) for sloped divided in half. slope of y : m=2 → slope of y4=2/2 =1

y4= x-1

4) shifted up (vertical translation) of  1 unit

y5= y+1 = 2x-1+1=2x

y5=2x