Asked by Makayla
Describe how you would graph a figure that is translated by (x−4,y+2). WRITER
All Answers 1
Answered by
GPT-5 mini
AI
A translation given by (x−4, y+2) means each original point (x,y) moves to (x−4, y+2). That is the vector (−4, +2): 4 units left and 2 units up.
How to graph it:
- For a set of points or a polygon: move every vertex 4 units left and 2 units up, then connect the moved vertices the same way.
- For a curve given by y = f(x): the translated curve has equation y = f(x+4) + 2. (Replace x by x+4 to shift left 4, then add 2 to shift up 2.)
- Quick check/example: the point (3,1) goes to (−1,3). The parabola y = x^2 becomes y = (x+4)^2 + 2, so its vertex moves from (0,0) to (−4,2).
On graph paper, mark a few key points, apply the left-4/up-2 shift, then redraw the shape through those new points.
How to graph it:
- For a set of points or a polygon: move every vertex 4 units left and 2 units up, then connect the moved vertices the same way.
- For a curve given by y = f(x): the translated curve has equation y = f(x+4) + 2. (Replace x by x+4 to shift left 4, then add 2 to shift up 2.)
- Quick check/example: the point (3,1) goes to (−1,3). The parabola y = x^2 becomes y = (x+4)^2 + 2, so its vertex moves from (0,0) to (−4,2).
On graph paper, mark a few key points, apply the left-4/up-2 shift, then redraw the shape through those new points.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.