Question

Which types of transformations in Exercises 4-11 do not change the shape of a graph? Which types of transformations change the shape of a graph? Explain.

Answer 1

Transformations that change the shape of a graph include vertical and horizontal stretching or compression, and reflection. Transformations that do not change the shape of a graph include translation and dilation.

Step-by-step explanation:

Transformations that change the shape of a graph include:

• Vertical stretching or compression: This transformation stretches or compresses the graph vertically, making it narrower or wider.
• Horizontal stretching or compression: This transformation stretches or compresses the graph horizontally, making it taller or shorter.
• Reflection: This transformation reflects the graph over a line, flipping it across that line.

Transformations that do not change the shape of a graph include:

• Translation: This transformation shifts the entire graph horizontally or vertically without changing its shape.
• Dilation: This transformation resizes the graph proportionally, but does not change its shape.