Math Problem Statement

Use the graphs of $f$f​  and  $h$h​  to describe the transformation from the graph of $f$f​  to the graph of  $h$h​ .

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

The graph of  $h$h​  is a Response area of the graph of $f$f​  by a factor of Response area.

Solution

To describe the transformation from the graph of ff to the graph of hh, we need to identify the type and magnitude of transformation applied to ff to obtain hh. Typical transformations include translations, reflections, stretches, or compressions. The exact answer would depend on the specifics of the graphs, which may show shifts, reflections, or rescalings.

  1. Identify Type of Transformation: If hh represents a vertical or horizontal shift, scaling, or reflection of ff, this should be noted (e.g., "reflection," "vertical stretch").
  2. Factor of Transformation: If there’s a stretch or compression, specify the factor, such as "by a factor of 2" (vertical stretch) or "by a factor of 1/2" (compression).

Could you share the specific features or graphs of ff and hh for precise guidance on completing the input areas?


Would you like further help or examples on how to analyze graph transformations?

Related Questions:

  1. How does a vertical shift affect the graph of a function?
  2. What happens when a function is reflected across the x-axis?
  3. How does horizontal stretching compare to vertical stretching?
  4. How do transformations impact the domain and range of a function?
  5. What is the effect of a negative factor in a function's transformation?

Tip: Always check whether the transformation affects the x-axis or y-axis for clarity on vertical vs. horizontal changes.