Describing a transformation with vertical and horizontal stretch then graphing

The video tutorial explains graph transformations, focusing on vertical and horizontal shifts, stretches, and shrinks. It covers how these transformations affect the graph of a function, using examples to illustrate the concepts. The tutorial also provides guidance on graphing transformed functions and selecting appropriate points for plotting.

What happens to a graph when a constant is subtracted from the function?

• The graph shifts to the right.

• The graph shifts upwards.

• The graph shifts downwards.

• The graph remains unchanged.

If a function is multiplied by a constant greater than one, what transformation occurs?

• Horizontal stretch

• Horizontal shrink

• Vertical stretch

• Vertical shrink

Which transformation is applied when the function is multiplied by a constant less than one?

• Vertical stretch

• Horizontal shrink

• Vertical shrink

• Horizontal stretch

What is the effect of multiplying the input value by a constant greater than one?

• Vertical shrink

• Horizontal stretch

• Horizontal shrink

• Vertical stretch

How does a horizontal stretch differ from a vertical stretch?

• Horizontal stretch affects the output values.

• Horizontal stretch affects the input values.

• Horizontal stretch is the same as vertical stretch.

• Horizontal stretch does not affect the graph.

In the square root function example, what is the result of shifting the graph down by 4 units?

• The graph remains unchanged.

• The graph moves down by 4 units.

• The graph moves to the right by 4 units.

• The graph moves up by 4 units.

What is the new point when the function f(x) = sqrt(x) is transformed with a horizontal stretch?

• (0, 8)

• (2, 4)

• (4, 2)

• (8, 0)