Answer:
The answer to your question is (-1, 2)
Step-by-step explanation:
Data
y = -4x - 2 Equation l
y = 2x + 4 Equation ll
Process
-Graph equation l (green line)
Plot the point (0, -2)
Starting from this point plot the point (1, -4), this point comes from the slope.
-Graph the equation ll (blue line)
Plot the point (0, 4)
Plot the point (1, 2) starting from the previous point.
-The solution is the point where the lines cross. This point is (-1, 2)
General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes . We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.