Now that you have seen the processes for translating from a table to the other three representations of a quadratic function, let's try one more so that you can check your understanding.

If you need help, mouse over the critical points column.

Table to Equation

The data in the table below represents a quadratic function.

Use your notes to explain how you would develop a specific equation for this quadratic function. When you have an equation, check your answer with your graphing calculator.

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Check Your Answer

y = -3x² + 6x

Table to Verbal Description

Again, use your notes to write a verbal description from the table given above. Before writing out your description, identify some of the critical attributes by coordinates, then use chosen attributes in your description.

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View Possible Answers

The parabola has x-intercepts at 0 and 2 and a maximum at (1, 3).

OR

The parabola has vertex at (1 , 3), (which is a maximum), and y-intercept at the origin, and x-intercepts at (0, 0) and (2, 0).