Answer the following questions in your notes.

  1. What is the shape of the linear parent function graph?
  2. Where is the linear parent function placed on the four-quadrant graph?
  3. Notice the angle or slope of the line.  Describe the slope or angle of the line with respect to the x-axis and y-axis.
  4. Press “Show Tabular Data” to look at the table of values for the function.  On the graphing calculator, press 2nd GRAPH for the table. Look at both positive and negative values.  If using the graphing link, click on “Show Tabular Data." Now answer this question: What do you notice about the x - and y - values?
  5. Which graph below best represents the linear parent function?

    3 graphs are shown. Answer choice A shows a diagonal line that passes through the origin and contains points (2, 2) and (-2, -2). Answer choice B shows a diagonal line that passes through the origin and contains points (1, 2) and (-1, -2). Answer choice C shows a horizontal line that contains points (0, 2) and (2, 2)

  6. What are some attributes that are the same about these graphs?

    3 graphs are shown. Answer choice A shows the graph of y = 2x. Answer choice B shows the graph of y = 0 and answer choice C shows the graph of y = x 

  7. Which attributes are different about these graphs?

    3 graphs are shown. Answer choice A shows the parent function of y = x. Answer choice B shows the graph of y = 2x and answer choice C shows the graph of y = 0 

  8. Which graph below best represents the linear parent equation? 

    3 graphs are shown. Answer choice A shows the graph of a diagonal line that passes through points (-2, 0) and (0, 2). Answer choice B shows a diagonal line that passes through points (-1, -1) and (1, 1) and answer choice C shows a diagonal line that passes through points (-1, 1) and (1, -1)  

  9. Which attributes are the same about these graphs?

    3 graphs are shown. Answer choice A shows the graph of diagonal line that passes through points (-2, 0) and (0, 2). Answer choice B shows the graph of y = x and answer choice C shows the graph of a diagonal line that passes through points (-2, 2) and (2, -2)

  10. Which attributes are different about these graphs?

    3 graphs are shown. Answer choice A shows the graph of a diagonal line that passes through points (-2, 0) and (0, 2). Answer choice B shows the graph of y = x and answer choice C shows the graph of a diagonal line that passes through points (-1, 1) and (1, -1)

When you are finished you can check your answers here.

  1. Interactive popup. Assistance may be required.

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    The linear parent function is a diagonal straight line containing infinite points.Close Pop Up
  2. Interactive popup. Assistance may be required.

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    The line passes through the origin (0, 0) and lies in the 1st and 3rd quadrants of the graph.Close Pop Up
  3. Interactive popup. Assistance may be required.

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    The line lies exactly between the x- and y- axes. Close Pop Up
  4. Interactive popup. Assistance may be required.

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    The x-values equal the y-values. Close Pop Up
  5. Interactive popup. Assistance may be required.

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    AClose Pop Up
  6. Interactive popup. Assistance may be required.

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    All 3 graphs are line graphs, passing through (0, 0).Close Pop Up
  7. Interactive popup. Assistance may be required.

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    The slopes are different. Close Pop Up
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    BClose Pop Up
  9. Interactive popup. Assistance may be required.

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    All graphs are linear functions and two of the graphs pass through (0, 0).Close Pop Up
  10. Interactive popup. Assistance may be required.

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    Graph C has a negative slope and graph A does not pass through (0, 0).Close Pop Up