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This lesson introduces quadratic equations and graphs. Equations of the form \(ax^2 + c = 0\) are solved via extraction of roots.
The lesson begins with a situation where the height of a pop fly in baseball is modeled using a quadratic equation.
The lesson begins with an exploration of the family of graphs of \(y = ax^2\), with an emphasis on tracking the changes in the \(y\)-values for differing values of the parameter \(a\).
This lesson introduces completing the square as a means of expanding the set of quadratic equations that may be solved beyond the extraction of roots and factoring.
This lesson begins with a review of the vertex formula for a quadratic and looks at two quadratics- one a vertical shift of the other- to verify that correct vertex is obtained for any quadrati