Graph Trans (AASL 2.11, AIHL 2.8)
Graph transformations | グラフ変換 | 图形变换 | 그래프 변환 |
Translation | 平行移動 | 平移 | 평행 이동 |
Reflections | 反転 | 镜像 | 반사 |
Vertical stretch | 垂直方向の伸縮 | 纵向伸缩 | 수직 스트레치 |
Horizontal stretch | 水平方向の伸縮 | 横向伸缩 | 수평 스트레치 |
Composite transformations | 複合変換 | 复合变换 | 복합 변환 |
Function | 関数 | 函数 | 함수 |
Sin(x) | サイン(x) | 正弦(x) | 사인(x) |
Inquiry questions
Factual Inquiry Questions
| Conceptual Inquiry Questions
| Debatable Inquiry Questions
|
![Image](https://beta.geogebra.org/resource/w7ffzmv2/R0qLXtdxLkXe0a6r/material-w7ffzmv2.png)
Which transformation is represented by the function y = f(x) + b?
If a graph is reflected over the x-axis, which of the following functions represents this transformation?
What is the effect of the transformation y = (1/q)f(x) on the graph of y = f(x)?
If a graph undergoes a horizontal translation of a units to the right, which function would represent this transformation?
Conceptual questions
William says to get from the red line to the blue line the line is translated up by 1 unit. Julia says to get from the red line to the blue line the line has been translated 1 unit to the left. Who is right? How can we justify this using function notation?
Connor says the blue line has been compressed horizontally to create the red line. Kim says the blue line has been stretched vertically to create the red line. Who is right? How can we justify this using function notation and graph transformations? What are the respective scale factors?
Sen says f(-x) produces a reflection, but in this case what is happening.