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The Vertex and Axis of Symmetry  Problem 7
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
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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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
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Sample Problems (8)
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The Vertex and Axis of Symmetry
Problem 1 5,678 viewsFind the vertex of
f(x) = x² + 6x + 8 
The Vertex and Axis of Symmetry
Problem 2 4,650 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 4,200 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 4 747 views 
The Vertex and Axis of Symmetry
Problem 5 852 views 
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Problem 6 681 views 
The Vertex and Axis of Symmetry
Problem 7 826 views 
The Vertex and Axis of Symmetry
Problem 8 877 views
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