Student exploration translating and scaling functions answer key – The Student Exploration: Translating and Scaling Functions Answer Key provides a comprehensive guide to the concepts of translating and scaling functions. This resource is designed to enhance student understanding of these transformations and their impact on the function’s equation.
This guide begins by explaining the concept of translating functions vertically and horizontally, with clear examples and illustrations. It then delves into the concept of scaling functions vertically and horizontally, providing students with a solid understanding of how these transformations affect the function’s graph.
Translating Functions
Translating functions involves shifting the graph of a function vertically or horizontally. Vertical translations move the graph up or down, while horizontal translations move the graph left or right.
To translate a function vertically by kunits, add kto the function. To translate a function horizontally by hunits, subtract hfrom the function’s input.
- Translating up: f(x) + k
- Translating down: f(x)- k
- Translating right: f(x- h)
- Translating left: f(x + h)
Scaling Functions
Scaling functions involves stretching or shrinking the graph of a function vertically or horizontally. Vertical scaling changes the height of the graph, while horizontal scaling changes the width of the graph.
To scale a function vertically by a factor of a, multiply the function by a. To scale a function horizontally by a factor of b, divide the function’s input by b.
- Scaling vertically: af(x)
- Scaling horizontally: f(x/b)
Student Exploration, Student exploration translating and scaling functions answer key
Activity:
Have students use a graphing calculator to explore the effects of translating and scaling functions.
Worksheet:
Create a worksheet with practice problems that reinforce the concepts of translating and scaling functions.
Answer Key:
Provide answer key for the practice problems.
FAQs: Student Exploration Translating And Scaling Functions Answer Key
What is the purpose of the Student Exploration: Translating and Scaling Functions Answer Key?
The Student Exploration: Translating and Scaling Functions Answer Key provides a comprehensive guide to the concepts of translating and scaling functions, enhancing student understanding of these transformations and their impact on the function’s equation.
What topics are covered in the Student Exploration: Translating and Scaling Functions Answer Key?
The Student Exploration: Translating and Scaling Functions Answer Key covers the concepts of translating functions vertically and horizontally, as well as scaling functions vertically and horizontally.
How can I use the Student Exploration: Translating and Scaling Functions Answer Key in my classroom?
The Student Exploration: Translating and Scaling Functions Answer Key can be used as a supplement to classroom instruction, providing students with additional practice and reinforcement of the concepts covered in class.
