Understanding Transformations in Algebra

The video tutorial covers various transformations in algebra, including vertical stretch and shrink, horizontal shifts, reflections, and vertical shifts. It explains how these transformations affect the domain and range of functions and demonstrates how to combine multiple transformations to alter a graph. The tutorial provides a comprehensive understanding of how to apply these transformations to different functions.

What does the parameter 'a' affect in a function transformation?

• Reflection over the y-axis

• Domain change

• Vertical stretch or shrink

• Horizontal shift

If a function is multiplied by 2, what happens to its graph?

• It shrinks horizontally

• It stretches vertically

• It reflects over the x-axis

• It shifts to the right

How does multiplying a function by -1/2 affect its graph?

• It stretches and shifts left

• It remains unchanged

• It shifts up

• It reflects and shrinks

What does the 'h' parameter control in a function transformation?

• Reflection over the x-axis

• Vertical shift

• Horizontal shift

• Vertical stretch

If a function is shifted to the right by 2 units, what happens to its domain?

• It decreases by 2

• It remains the same

• It reflects over the y-axis

• It increases by 2

What effect does negating the x-value have on a function's graph?

• Vertical shift

• Vertical stretch

• Horizontal shift

• Reflection over the y-axis

How does adding a constant to a function affect its graph?

• It reflects the graph over the x-axis

• It shifts the graph vertically

• It compresses the graph vertically

• It stretches the graph horizontally

What happens when multiple transformations are applied to a function?

• The graph remains unchanged

• They combine to create a new graph

• They cancel each other out

• Only the first transformation is applied

If a function is shifted left by 1 and down by 4, what is the new origin?

• Left 1, Down 4

• Right 1, Down 4

• Left 1, Up 4

• Right 1, Up 4

What is the result of reflecting a function and then stretching it by a factor of 2?

• The graph is unchanged

• The graph is only stretched

• The graph is compressed

• The graph is reflected and stretched