Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the image. If the pre-image point move on y = 2 from left to right, what is the orientation of the image point?

Verify that the mapping z + z², (z e C) will map the line y = -3 to a parabola. Find its Cartesian equation and sketch it. Determine the direction of the movement of the image point as the pre-image point moves from left to right on the line y = -3.

Reflect the point (2, -4) over the y-axis. O A. (-4, 2) В. (2, 4) С. (-2, 4) O D. (-2,-4)

Plot the following points and label them by the letters shown. Then plot the locations after reflecting them across the y-axis. Label the reflected points A’, B’, C’, and D’. A(-2, 4); B(3, -1); C (4,0); D (5,1)