Question

1. which types of transformations do not change the shape of a graph? which types of transformations change the shape of a graph? explain.

Explanation:

Translations (shifts horizontally or vertically), reflections (over x - axis, y - axis) and rotations do not change the shape of a graph as they are rigid - motions. Dilations (stretching or shrinking) change the shape of a graph by changing the distance between points on the graph relative to each other.

Answer:

Transformations that do not change the shape of a graph: Translations, reflections, rotations. Reason: They are rigid - motions preserving distances and angles. Transformations that change the shape of a graph: Dilations. Reason: They change the scale of the graph, altering distances between points.