A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=8-x2 . What are the dimensions of such a rectangle with the greatest possible area? width=? height=...

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I found three points of my parabola: (2.5, 1), (7, 4), and (11.5, 1). I need to put my parabola into standard form, but I am not sure how to do it with the information that I have.

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Find the focus, directrix, and focal diameter of the parabola. 2xsqaured +13y = 0

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How can I find the equation of a parabola when I am given a=1 (I have a graph but do not know the steps I need to take)

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Given the equation -5 (x - 2)2 -1=y a. Identify the vertex. b. Identify the axis of the symmetry. c. Identify the direction of the graph (whether it opens up or down).

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focus at (0,2)

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I had to find the coordinates of the vertex and the equation of the axis of symmetry for the parabola given the by the equation h(x)=-1/2x to the 2nd power +4x-8 and the answer I came up with...

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Find the point on the graph of y=x2 +1 that is closest to the point (8, 3/2).

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Two parabolas y=16-3x2 and y=x2-9 are drawn. A rectangle is contructed with sides parallel to the coordinate axes with the two upper vertices on the graph of y=16-3x2 and the two lower vertices...

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The equation of parabola is y=_________

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this is for my math assighnment that is overdue

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conic sections - parabolas, ellipses and hyperbolas. Look around in your day (home, work, etc) and see if you observe any of the conic sections. In each explanation, indiciate what...

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Sometimes only half of a parabola is used to model data. Why is this the case? Why would we not be interested in both sides?

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So, I was playing with an online graphing calculator and I plugged in 0.5x2 x2 and 2x2 and when I went up to higher numbers, such as x=10, I noticed they were unevenly spaced. This...

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using y = x^2 - 4x -32 how do I identify if the parabola opens up or down so I can explain the conclusion. Thank you

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f(x)=x^2-4x-5 The vertex of the given parabola is _____. (typed an ordered pair)

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8y(squared)=x(squared)

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I am trying to make a mold for satellite dish . I can calculate the maths but my biggest challenge is plotting the graph . I need a tutor that can put me through

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answer for math questions about parabolas

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I also need the the equation in standard vertex form and the axis of symmetry and the direction of opening