Quadratic Equations And Graphing And Intercept Form Worksheets

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Notes (Day1) Solving Quadratic Equations by Graphing and Intercept Form
Remember the golf ball problem from your homework? Here is a screen shot of the graph.
Label the axes.
You found the maximum height of the golf ball and the time it took to reach that height. However, there is
another important point on this graph. What is it? ____________________________
That point has an algebraic meaning and a meaning with respect to the real world.
We call this value a ZERO of the function, as it makes the output, f(x), equal zero. The zeros of
a function are the x-intercepts. Since they are points you can write them as ordered pairs.
However, you can also just give a value for the zero (x coordinate). Unlike linear functions,
which have only one zero, quadratic functions can have two zeros. These zeros are always
symmetric about the axis of symmetry. What is the other zero in the graph above? _______
Give the domain of the graph above (golf ball problem)
D:_________________
Interval Notation:
However, a quadratic function may have NO real zeros or only one! Think about it.

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