The equation of this graph is y = 23x − 4
What transformation would need to happen for the equation of the line to be y = 23x
?
(1 point)
Responses
Shift the graph left 4
Shift the graph left 4
Shift the graph up 4
Shift the graph up 4
Shift the graph down 3 and left 2
Shift the graph down 3 and left 2
Shift the graph right 3, down 2
Shift the graph up 4
To transform the equation of the line from y = 23x - 4 to y = 23x, you would need to shift the graph up by 4 units. Therefore, the correct transformation would be "Shift the graph up 4."
To find the transformation that would need to happen for the equation of the line to be y = 23x, we can look at the given equation y = 23x − 4.
In the given equation, the constant term is -4. The transformation associated with the constant term affects the vertical position of the graph. A positive constant term will shift the graph up, while a negative constant term will shift the graph down.
In this case, the constant term is negative (-4), so the graph needs to be shifted down. However, the question asks for the line to be y = 23x, meaning there should be no constant term.
To remove the constant term and shift the graph down by 4, we would need to shift the graph down by an additional 4 units.
Therefore, the correct transformation to make the equation of the line y = 23x − 4 become y = 23x is to shift the graph down by 4 units.
So, the answer would be:
Shift the graph down 4