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.
1 answer:
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
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