What transformation would need to happen for the equation of the line to be y=23x
?
A Shift the graph right 3, down 2
B Shift the graph left 2
C Shift the graph down 3, left 2
D Shift the graph down 2
To transform the equation of the line from y = mx to y = 23x, the slope (m) needs to be changed to 23. The answer is not specified in the given options.
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 = 2/3x
The equation y = (2/3)x + 2 represents a line with a slope of 2/3 and a y-intercept of 2. To transform the equation of the line to y = (2/3)x, the y-intercept (2) needs to be eliminated or shifted to 0.
This can be achieved by shifting the graph down by 2 units.
Therefore, the correct transformation would be to shift the graph down 2 units.
Are you sure?
Apologies for the confusion in my previous response.
To transform the equation y = (2/3)x + 2 to y = (2/3)x, the y-intercept needs to be eliminated or shifted to 0.
This can be achieved by subtracting 2 from both sides of the equation, resulting in y - 2 = (2/3)x - 2.
Therefore, the correct transformation would be shifting the graph down 2 units or vertically translating the graph 2 units downward.
4. Given the table for x, time in minutes, and y, distance traveled: x: time 8 5 7 2 9 y: distance 664 415 581 166 747 (4 points) a. Every minute -12 meters are traveled. b. Write an equation to show the relationship between x and y: y = 12x . c. This relationship is proportional because the y-intercept is (0, 0) .
a. Every minute -12 meters are traveled: False. Looking at the table, the distance traveled is not decreasing by 12 meters every minute.
b. Write an equation to show the relationship between x and y: The equation should represent the relationship between time (x) and distance traveled (y). From the table, it appears that the distance traveled is proportional to the time. The equation in this case would be y = kx, where k is the constant of proportionality.
To find the value of k, we can choose any of the given pairs of x and y. Let's use (8, 664):
664 = k * 8
k = 664/8 = 83
Therefore, the equation to show the relationship between x and y is y = 83x.
c. This relationship is proportional because the y-intercept is (0, 0): False. The y-intercept is not (0, 0). Based on the table, when x is 0, y is not 0. Therefore, the relationship is not proportional in this scenario.