The video tutorial covers transformations of functions, starting with a warm-up exercise to evaluate functions at X=4 and graph the results. It explores various transformations, including vertical stretch, compression, reflection, and shifting. The tutorial also explains function notation and special cases, providing a comprehensive understanding of how different transformations affect the graph of a function.

What is the purpose of the warm-up exercise in the video?

• To introduce new functions

• To evaluate functions at X = 4 and graph the results

• To solve complex equations

• To memorize function formulas

What happens to a graph when a function is multiplied by a constant outside the function?

• It shifts horizontally

• It reflects over the X-axis

• It undergoes a vertical stretch or compression

• It remains unchanged

How does multiplying by a negative outside the function affect the graph?

• It shifts the graph up

• It reflects the graph over the X-axis

• It compresses the graph vertically

• It stretches the graph horizontally

What is the effect of subtracting a constant outside the function?

• It shifts the graph down

• It shifts the graph left

• It compresses the graph horizontally

• It reflects the graph over the Y-axis

What does adding a constant inside the function do to the graph?

• Shifts the graph to the right

• Shifts the graph to the left

• Reflects the graph over the X-axis

• Stretches the graph vertically

What is the result of adding a constant outside the function?

• It compresses the graph vertically

• It reflects the graph over the Y-axis

• It shifts the graph down

• It shifts the graph up

What does a negative sign inside the function indicate?

• A reflection over the X-axis

• A reflection over the Y-axis

• A horizontal shift

• A vertical stretch

What is the role of the 'B' term in function notation?

• It reflects the graph over the X-axis

• It shifts the graph up

• It introduces a special case

• It causes a vertical stretch

How does the 'A' term affect the function?

• It shifts the graph vertically

• It causes a vertical stretch or compression

• It reflects the graph over the Y-axis

• It shifts the graph horizontally

What happens when you add a constant inside the function?

• The graph reflects over the X-axis

• The graph shifts to the left

• The graph remains unchanged

• The graph shifts to the right