3. The equation of this graph is y=23x+2
What transformation would need to happen for the equation of the line to be y=23x
?
(1 point)
Responses
Shift the graph right 3, down 2
Shift the graph right 3, down 2
Shift the graph left 2
Shift the graph left 2
Shift the graph down 3, left 2
Shift the graph down 3, left 2
Shift the graph down 2
Shift the graph down 2
The correct transformation to make the equation of the line y = 23x + 2 into y = 23x is to shift the graph down by 2.
To find the transformation needed for the equation of the line to be y=23x, we can compare it with the given equation y=23x+2.
The equation y=23x represents a linear equation with a slope of 23 and a y-intercept of 0. It has no vertical shift and no additional constant term.
On the other hand, the given equation y=23x+2 has a constant term of +2, which results in a vertical shift of 2 units upwards.
Therefore, to transform the equation y=23x+2 to y=23x, we need to shift the graph downwards by 2 units.
Option: Shift the graph down 2
This option correctly identifies the needed transformation to remove the constant term and achieve the desired equation y=23x.