The equation of this graph is y = 2/3x − 4
What transformation would need to happen for the equation of the line to be y=2/3x ?
(1 point)
Responses
Shift the graph down 3 and left 2
Shift the graph down 3 and left 2
Shift the graph left 4
Shift the graph left 4
Shift the graph right 3, down 2
Shift the graph right 3, down 2
Shift the graph up 4
Shift the graph up 4.
To transform the equation of the line y = 2/3x - 4 to y = 2/3x, we would need to shift the graph up by 4 units.
To find the transformation required for the equation of the line to be y = 2/3x, you need to compare the given equation y = 2/3x - 4 with the desired equation y = 2/3x.
The given equation has a constant term of -4 in addition to the expression 2/3x. Therefore, to obtain the desired equation, you need to remove the constant term -4.
To accomplish this, you need to shift the graph up by 4 units. This means that the correct transformation is to shift the graph up 4.
Therefore, the correct answer is: Shift the graph up 4.