The equation of this graph is y = 23x − 4%0D%0A%0D%0A %0D%0A=%0D%0A %0D%0A2%0D%0A3%0D%0A%0D%0A %0D%0A−%0D%0A %0D%0A4%0D%0A %0D%0AWhat transformation would need to happen for the equation of the line to be y = 23x%0D%0A%0D%0A %0D%0A=%0D%0A %0D%0A2%0D%0A3%0D%0A%0D%0A ?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AShift the graph right 3, down 2%0D%0AShift the graph right 3, down 2%0D%0A%0D%0AShift the graph left 4%0D%0AShift the graph left 4%0D%0A%0D%0AShift the graph down 3 and left 2%0D%0AShift the graph down 3 and left 2%0D%0A%0D%0AShift the graph up 4
The correct answer is:
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 down by 4 units.
To determine the transformation that needs to happen for the equation of the line to be y = 23x, we can compare it to the given equation y = 23x - 4.
The equation y = 23x represents a linear equation in the slope-intercept form, where the coefficient of x is the slope of the line (m = 23) and the constant term (-4) represents the y-intercept.
In the given equation y = 23x - 4, the -4 shifts the graph downward by 4 units from the position of y = 23x. Therefore, to transform the equation y = 23x - 4 to y = 23x, we need to shift the graph upward by 4 units.
The correct answer is: Shift the graph up 4 units.