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

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 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 translation that shifts the graph of a function horizontally
a dilation that stretches the graph of a function vertically
a reflection of the graph of a function over the y-axis
the functions created from transformations of a parent function
a transformation that stretches or compresses the graph of a function horizontally or vertically
a reflection of the graph of a function over the x-axis
an expression, rule, or law that defines a relationship between the independent variable and the dependent variable
a transformation that shifts the graph of a function vertically or horizontally
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
the manipulation of an equation or graph from the parent function to change its position, size, or shape
a dilation that compresses the graph of a function vertically
a translation that shifts the graph of a function vertically
a transformation that reflects the graph of a function over a horizontal or vertical line
a function without transformations

function
dilation
Horizontal reflection
Horizontal shift
Family of functions
vertical compression
Horizontal compression
vertical stretch
reflection
vertical shift
vertical reflection
parent function
translation
transformation
horizontal stretch

1 answer

Here are the terms matched to their correct definitions:

  1. Horizontal compression - 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

  2. Horizontal shift - a translation that shifts the graph of a function horizontally

  3. Vertical stretch - a dilation that stretches the graph of a function vertically

  4. Horizontal reflection - a reflection of the graph of a function over the y-axis

  5. Family of functions - the functions created from transformations of a parent function

  6. Transformation - a manipulation of an equation or graph from the parent function to change its position, size, or shape

  7. Vertical reflection - a reflection of the graph of a function over the x-axis

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

  9. Translation - a transformation that shifts the graph of a function vertically or horizontally

  10. Horizontal stretch - 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

  11. Vertical compression - a dilation that compresses the graph of a function vertically

  12. Vertical shift - a translation that shifts the graph of a function vertically

  13. Reflection - a transformation that reflects the graph of a function over a horizontal or vertical line

  14. Parent function - a function without transformations

  15. Dilation - a transformation that stretches or compresses the graph of a function horizontally or vertically

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