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

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Math Problem Analysis

Mathematical Concepts

Function Transformations
Graphing

Formulas

Vertical stretch/compression: h(x) = a * f(x)
Horizontal stretch/compression: h(x) = f(b * x)
Vertical shift: h(x) = f(x) + k
Horizontal shift: h(x) = f(x + c)
Reflection: h(x) = -f(x) or h(x) = f(-x)

Theorems

Transformation Rules for Functions

Suitable Grade Level

Grades 9-11