The point (4,12) is the upper Vortex of a triangle. The triangle is reflected about the y-axis deleted by a factor of 3 with the origin as the center of dilation and then transmitted up to 11. What are the final coordinates of the vortex?

Respuesta :

Let's deal with the steps, one at the time:

  1. We start from (4, 12)
  2. We reflect about the y-axis. This means that we change the sign of the x-coordinate: the new point is (-4, 12)
  3. We dilate with center the origin and factor 3. This means that we multiply both coordinates by 3: (-12, 36)
  4. We translate 11 units upwards. This means that we increase the y coordinate by 11: (-12, 47).