Match the term to the correct definition. (15 points)

Question

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.
a translation that shifts the graph of a function vertically
a dilation that stretches the graph of a function vertically
a transformation that stretches or compresses the graph of a function horizontally or vertically
a transformation that shifts the graph of a function vertically or horizontally
the functions created from transformations of a parent function
a dilation that laterally stretches the graph of a function; occurs when the x-value of a function is multiplied by a constant, k, whose value is between 0 and 1
an expression, rule, or law that defines a relationship between the independent variable and the dependent variable
a reflection of the graph of a function over the x-axis
a function without transformations
a transformation that reflects the graph of a function over a horizontal or vertical line
a dilation that laterally compresses the graph of a function; occurs when the x-value of a function is multiplied by a constant, k, whose value is greater than 1
a reflection of the graph of a function over the y-axis
a dilation that compresses the graph of a function vertically
a translation that shifts the graph of a function horizontally
the manipulation of an equation or graph from the parent function to change its position, size, or shape

Answer 1

Here are the matches for the terms and their correct definitions:

1. a translation that shifts the graph of a function vertically

   • Translation (Vertical)

2. a dilation that stretches the graph of a function vertically

   • Dilation (Vertical Stretch)

3. a transformation that stretches or compresses the graph of a function horizontally or vertically

   • Transformation (Stretch/Compress)

4. a transformation that shifts the graph of a function vertically or horizontally

   • Transformation (Translation)

5. the functions created from transformations of a parent function

   • Transformed Functions

6. a dilation that laterally stretches the graph of a function; occurs when the x-value of a function is multiplied by a constant, k, whose value is between 0 and 1

   • Lateral Stretch (Dilation)

7. an expression, rule, or law that defines a relationship between the independent variable and the dependent variable

   • Function

8. a reflection of the graph of a function over the x-axis

   • Reflection (Over x-axis)

9. a function without transformations

   • Parent Function

10. a transformation that reflects the graph of a function over a horizontal or vertical line

    • Reflection (Transformation)

11. a dilation that laterally compresses the graph of a function; occurs when the x-value of a function is multiplied by a constant, k, whose value is greater than 1

    • Lateral Compression (Dilation)

12. a reflection of the graph of a function over the y-axis

    • Reflection (Over y-axis)

13. a dilation that compresses the graph of a function vertically

    • Vertical Compression (Dilation)

14. a translation that shifts the graph of a function horizontally

    • Translation (Horizontal)

15. the manipulation of an equation or graph from the parent function to change its position, size, or shape

    • Transformation (Manipulation)

Feel free to use this guide to make the necessary matches.