Answer the following questions in your notes.

  1. The quadratic parent function looks like a bowl shape that is symmetrical around the axis and starts
    at (0, 0).
  2. Where is the quadratic parent function placed on the four quadrant graph?
  3. Look at the table of values for the function.  Look at both positive and negative values.  If using the graphing link, click on "Show Tabular Data." What do you notice about the x and y values?

    table showing the values of x and y when y = x squared is the input

  4. Which graph below best represents the quadratic parent function?

    3 graphs are shown. Answer choice A shows a u-shaped graph that passes through points (-2, 2) (0, 0) and (2, 2). Answer choice B shows a U-shaped graph that passes through points (-1, 2), (0, 0), and (1, 2) and answer choice C shows a U-shaped graph that passes through points (-2, 4), (0, 0), and (2, 4)

  5. Name three attributes that are the same about these graphs.

    3 graphs are shown. Answer choice A is the graph of y = one-half x squared. Answer choice B is the graph of y = x squared, and answer choice C is the graph of y = 2 x squared

  6. Name two attributes that are different about these graphs.

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

  7. Which graph below best represents the quadratic parent function?

    3 graphs are shown. Answer choice A shows a U-shaped graph that passes through points (-2, 3) (0, 1) and (2, 3). Answer choice B shows a U-shaped graph that passes through points (-2, 4), (0, 0), and 2, 4) and answer choice C shows a U-shaped graph that passes through points (-1, 4), (1, 0) and (2, 1)

  8. Name two attributes that are the same about these graphs.

    3 graphs are shown. Answer choice A shows the graph of y = x squared minus 1. Answer choice B shows the graph of y = x squared and answer choice C shows the graph of y = x minus 1 quantity squared

  9. Name two attributes that are different about these graphs.

    3 graphs are shown. Answer choice A shows the graph of y = x squared minus 1. Answer choice B shows the graph of y = x squared and answer choice C shows the graph of y = x minus 1 quantity squared

When you are finished you can check your answers here.

  1. Interactive popup. Assistance may be required.

    Check Your Answer

    The quadratic parent function looks like a bowl shape that is symmetrical around the axis and starts at (0, 0).Close Pop Up
  2. Interactive popup. Assistance may be required.

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    The function passes through the origin (0,0), called the vertex, and lies in the 1stand 2ndquadrants of the graph. Notice that the y-axis is the line of symmetry.Close Pop Up
  3. Interactive popup. Assistance may be required.

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    The y values are perfect squares.Close Pop Up
  4. Interactive popup. Assistance may be required.

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    The correct choice is C. It is easy to make a mistake on these if you don't look for the points
    (-2, 4), (-1, 1), (1, 1), and (2, 4). The y values must be perfect squares.Close Pop Up
  5. Interactive popup. Assistance may be required.

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    All graphs are quadratic functions, passing through (0, 0), and lying in the 1st and 2nd quadrants where the y-axis is the line of symmetry.Close Pop Up
  6. Interactive popup. Assistance may be required.

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    The U shape are stretched differently and only one graph has points passing through (-2, 4), (-1, 1), (1, 1), and (2, 4). Close Pop Up
  7. Interactive popup. Assistance may be required.

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    BClose Pop Up
  8. Interactive popup. Assistance may be required.

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    All graphs are quadratic functions and have the size U shape.Close Pop Up
  9. Interactive popup. Assistance may be required.

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    All the vertices and lines of symmetry are different.Close Pop Up