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5.2 Properties of Parabolas
y = ax2 + bx + c Standard Form“c” is the y-intercept. If b = 0 then y = ax2 + c Axis of symmetry: x = 0 Vertex (0, c)
EX 1 Graph: y =
If a > 0 then opens up. If a < 0 then opens down. Axis of Symmetry: x =
EX 2 Graph y =
The y value of the vertex is the maximum or minimum of the quadratic function.
EX 3 Graph y =
EX 4 Find two numbers with a difference of 10 and a product that is a minimum. Find the minimum product.
EX 5 Suppose you want to frame a collage of pictures. You have a 9-ft strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area?
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