Algebra 2 2-6 Independent Practice: Families of Functions

Compare and Contrast: Part A: The graph below shows f(x) = 0.5x - 1.

Graph g(x) by translating f(x) up 2 units and then stretching it vertically by the factor 2.

Compare and Contrast: Part B: The graph below shows f(x) = 0.5x - 1.

Graph h(x) by stretching f(x) vertically by the factor 2 and then translating it up 2 units.

Compare and Contrast: Part C: Compare the graphs of g(x) and h(x) that you constructed in the previous two items.

NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Reasoning: Give an example of a function for which a horizontal translation gives the same resulting graph as a vertical translation? Explain.

You may use the canvas to help illustrate your thinking.

Reflection: Math Success