3. The equation of this graph is y=2/3x+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 left 2
Shift the graph down 3, left 2
Shift the graph down 2
None of the above transformations would result in the equation y=23x. The correct answer is not listed.
no y= 2/3 + 2
Apologies for the confusion. To transform the equation y=2/3x+2 into y=23x, we need to multiply the coefficient of x by 23.
Therefore, the correct answer is to multiply the graph's slope by 23.
The correct response is: Scale the graph vertically by a factor of 23.
these are the answer options:
Shift the graph right 3, down 2
Shift the graph left 2
Shift the graph down 3, left 2
Shift the graph down 2
Apologies for the confusion. Based on the given answer options, the correct transformation for the equation of the line to be y=23x would be:
Shift the graph down 2
This is because changing the coefficient of x from 2/3 to 23 will change the y-intercept of the line. In this case, the constant term in the equation (2 in y=2/3x+2) needs to be adjusted to 0 (as there is no constant term in y=23x). Shifting the graph down by 2 units would achieve this transformation.
To transform the equation from y=(2/3)x+2 to y=23x, you would need to shift the graph down 2 units. Therefore, the correct answer is "Shift the graph down 2."
To transform the equation from y = (2/3)x + 2 to y = 23x, you need to:
- Remove the constant term of 2, which corresponds to shifting the graph down.
- Remove the coefficient of (2/3) and replace it with 23, which corresponds to changing the slope of the line.
Given the response options, the correct transformation would be to shift the graph down 2.