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Math Unit 2 - Essay Example

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It is not necessary to plot points to graph a parabolic function in the form of a (x-h) 2 + k because all the necessary parts of a parabola are already contained in the equation. It should be noted that (h, k) is the vertex, the focus is (h, k+p), and directrix is y= k-p…
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Math Unit 2
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Download file to see previous pages This function is s = 16t2 + v0t + s0.
4. Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is two times the length plus two times width). She wants to maximize the area of her patio (the area of a rectangle is length times width). What should the dimensions be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.

Answer: length = 100, width = 100

A = xy
2x + 2y = 400
2y = 400 - 2x
y = 200- x
A = x (200-x)
x (200-x) = 0
x = 0, 200-x = 0
x = 0, x = 200

The line of symmetry is x = 100. Thus,
y = 200 - x
y = 100 ...Download file to see next pagesRead More
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