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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.
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The Vertex and Axis of Symmetry
Problem 1 5,811 viewsFind the vertex of
f(x) = x² + 6x + 8 
The Vertex and Axis of Symmetry
Problem 2 4,754 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 4,343 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 4 811 views 
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Problem 5 949 views 
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Problem 6 752 views 
The Vertex and Axis of Symmetry
Problem 7 903 views 
The Vertex and Axis of Symmetry
Problem 8 962 views
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