Naomi-project

my project choice is a hard drive parabola.

In 1956 IBM created the worlds first hard drive. The hard drive was the size of two large refrigerators and cost $10,000 per MB. By 1963 IBM had created the worlds first removable hard drive. The first small hard drive came out in 1988 when the company Prairie Tek. It was 2.5 inches and stored 20MB. It was not until the year 2000 that computer hard drives look the way they do today. Inside the hard drive there are also many parabolic shapes.

The outside of The External hard drive I am using is rounded at the top. The reason for rounding the top of the hard drive is that it help spread impact of a drop keeping the inside safe.The design also helps make the hard drive easy to hold in your palm.

http://www.pcworld.com/article/127105/timeline_50_years_of_hard_drives.html



The equation of my porablea is To get the standard form of the line I used Microsoft Excel to get vertex form I used the form Y- = (x- )^2 .8 divided by .08 is 10 Then I thought 'what is half of 10', and i got 5 I turned -.08x^2 + .8x into .08(x-5)^2 Because I subtracted 5 from one side I have to subtract 5 from the other side. So now my equation looked like this, y-4=.08(x-5)^2 To get the factored form I had to think what times what equals -.08x^2 + .8x I know that that factored form follows this form (x-/+ ?)(x-/+ ?)
 * Standard form : Y= -0.08x^2 + 0.8x**
 * Vertex form : y-2=-.08(x-5)^2**
 * Factored from : y=-0.08(x-0)(x-10)**

The vertex is the tallest point in the parabola. The vertex of my probable is (5,2) The line of symmetry is x=5 To create the graph I measured the hard drive in cm. From the tallest point to the flat line, is 2 cm. the length is 10 cm. The parabola is a maximum meaning the it opens down and is positive.

The x intercepts are 0 and 10

The y intercept is (0,0) meaning the parabola crosses the y axes only once.

The discriminate is .64 To find the discriminate i used the formula **b^2 -4ac** or in my case, .8^2 - 4(-.08) If the discriminate is 0 then there is one x intercept. If the discriminate is bigger then 0 there are two x intercepts. If the discriminate is less then 0 there are no x intercepts.

Mrs Shutters wants to graph the equation **Y= -0.08x^2 + 0.8x** with out using a graphing program. Using the quadratic formula find the x intercepts.

first step is to get the A B and C values from the equation **0 = -0.08x^2 + 0.8x + 0** A=-0.08 B=.8 C=0

Fill the A, B and C values into the quadratic formula

After filling in the numbers and using the quadratic formula I got **x=0** and **x=10**