How to different transformations affect our graph? square root function

The video tutorial explains various graph transformations, focusing on the effects of multiplying by constants and adding or subtracting values both inside and outside radicals. It covers vertical and horizontal shifts, stretches, compressions, and reflections. The instructor clarifies common misconceptions, particularly regarding horizontal shifts and reflections, and emphasizes the importance of understanding the location and value of transformations in graphing functions.

What happens to a graph when you multiply by a number outside the radical?

• It shifts the graph horizontally.

• It shifts the graph vertically.

• It stretches or compresses the graph.

• It reflects the graph across the x-axis.

How does the location of a number (inside or outside the radical) affect the graph?

• It alters the graph's size.

• It changes the graph's shape.

• It affects the color of the graph.

• It determines the direction of the shift.

What happens when you multiply by a number less than one outside the radical?

• The graph reflects.

• The graph compresses.

• The graph shifts to the left.

• The graph stretches.

What is the effect of adding a number outside the radical?

• It shifts the graph horizontally.

• It stretches the graph.

• It shifts the graph vertically.

• It compresses the graph.

What is the result of adding a number inside the radical?

• The graph compresses.

• The graph reflects across the y-axis.

• The graph shifts horizontally.

• The graph shifts vertically.

What is the effect of subtracting a number inside the radical?

• The graph reflects across the x-axis.

• The graph compresses.

• The graph shifts to the right.

• The graph shifts to the left.

What transformation occurs when a negative number is multiplied outside the function?

• The graph shifts to the right.

• The graph stretches.

• The graph reflects across the x-axis.

• The graph compresses.

How does multiplying by a negative number inside the function affect the graph?

• It reflects the graph across the y-axis.

• It compresses the graph.

• It shifts the graph up.

• It stretches the graph.

What is a common misconception about adding a number inside the radical?

• It shifts the graph to the right.

• It reflects the graph across the y-axis.

• It shifts the graph to the left.

• It compresses the graph.

How does a multiplier inside the radical affect horizontal shifts?

• It doubles the shift.

• It negates the shift.

• It alters the expected shift.

• It has no effect.