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Check it outThe Vertex and Axis of Symmetry  Problem 7 258 views
Since quadratic functions have a vertex, or highest point, when the parabola opens down, we can use a quadratic function to model things that we'd like to maximize, like the area of a rectangle. A classic problem is explored here, where we have a fixed amount of materials that we'd like to use to create the maximum area. We start by setting up a quadratic relationship based on length times width equals area, then set it all equal to zero, and then find the vertex, which represents the maximum area.
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The Vertex and Axis of Symmetry
Problem 1 4,552 viewsFind the vertex of
f(x) = x² + 6x + 8 
The Vertex and Axis of Symmetry
Problem 2 3,816 viewsFind the vertex of f(x) = x² + 3x + 4. Write the equation for the axis of symmetry.

The Vertex and Axis of Symmetry
Problem 3 3,195 viewsA soccer ball's height in feet follows the path described by h(x) = 48x − 16x² where x is the time in seconds. After how long does the soccer ball reach its maximum height? What is that height?

The Vertex and Axis of Symmetry
Problem 4 235 views 
The Vertex and Axis of Symmetry
Problem 5 242 views 
The Vertex and Axis of Symmetry
Problem 6 213 views 
The Vertex and Axis of Symmetry
Problem 7 257 views 
The Vertex and Axis of Symmetry
Problem 8 281 views
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