To determine the image of the point (-1,-2) reflected on the line x = 2, we need to note that the mirror line is a vertical line that passes through the point (2,0), which is a line parallel to the y-axis. So, the image of the point can be found by the following steps: Calculate the distance between the point (-1,-2) and the mirror line (ie line x=2) with the formula: d = |(ax + by + c)/sqrt(a^2 + b^2)| with a = 1, b = 0, and c = -2 (according to the equation of the line x = 2) d = |(1*(-1) + 0*(-2) - 2)/sqrt(1^2 + 0^2)| = 3 Draw a line that is parallel to the mirror line (i.e. line x = 2) and is 3 units away from it, as follows: Points (5,-2) and (5,2) are points on the line parallel to the mirror line and 3 units away from the mirror line. So, we can draw a line connecting the two points, which is a line with the equation x = 5. Reflect the point (-1,-2) on the line, as follows: The distance between the point and the mirror line is 3 units. Therefore, the image point to be sought is to the right of the mirror line and is 3 units away from that line. We can find the shadow point by shifting the point (-1,-2) 3 units to the right. After that, we also need to shift the image point 3/4 units down and 5/4 units to the left, according to the instructions "continue translating min three-fourths". Thus, the coordinates of the image point are as follows: x = -1 + 3 + (-5/4) = -3/4 y = -2 - (3/4)*(3/4) = -43/16 So, the image of the point (-1,-2) after being reflected on the line x=2 and continuing the translation -3/4 units to the left and -43/16 units down is (-3/4, -43/16)