Graph Transformations and Their Effects

The video tutorial discusses the transformation of functions, focusing on horizontal reflections, compressions, and stretches. It explains the difference between horizontal and vertical transformations and how they affect the graph of a function. The tutorial also covers how to determine the domain and range of a transformed graph, emphasizing the importance of understanding these concepts for analyzing functions.

What is the initial equation discussed in the video?

• f(x)

• g(x)

• h(x)

• k(x)

What does a negative sign inside a function indicate?

• Vertical stretch

• Horizontal stretch

• Horizontal reflection

• Vertical reflection

What axis is involved in a horizontal reflection?

• x-axis

• y-axis

• w-axis

• z-axis

What is the result of a horizontal reflection?

• The graph is stretched horizontally

• The graph is flipped over the y-axis

• The graph is flipped over the x-axis

• The graph is compressed vertically

What is the effect of a horizontal reflection on a graph?

• It compresses the graph vertically

• It flips the graph vertically

• It flips the graph horizontally

• It stretches the graph horizontally

What is the difference between horizontal and vertical compressions?

• Horizontal affects width, vertical affects height

• They are the same

• They both affect width

• Vertical affects width, horizontal affects height

How does a horizontal stretch relate to a vertical compression?

• They are unrelated

• They have opposite effects

• They cancel each other out

• They have similar effects

What happens to a graph when it is horizontally stretched?

• It becomes taller

• It becomes shorter

• It becomes wider

• It becomes narrower

What is the effect of a vertical compression on a graph?

• It makes the graph narrower

• It makes the graph shorter

• It makes the graph taller

• It makes the graph wider

What is the effect of a horizontal compression on a graph?

• It makes the graph narrower

• It makes the graph wider

• It makes the graph shorter

• It makes the graph taller