A video of the path of a ball thrown by a baseball player was analyzed with a grid covering the TV screen. The video was paused three times, and the position of the ball was measured each time. The coordinates obtained are shown in the table. (x and y are measured in feet.) Horizontal distance, x 0 15 30 Height, y 6.0 9.6 12.2 (a) Use a system of equations to find the equation of the parabola y = ax2 + bx + c that passes through the three points. Solve the system using matrices. (Round each coefficient to four decimal places.) y=_______________?   (b) Graphically approximate the maximum height of the ball and the point at which the ball struck the ground. (Round your answers to the nearest whole number.)   Maximum Weight=_______________ft? Point at which ball strikes ground=_______________ft?   (d) Analytically find the maximum height of the ball and the point at which the ball struck the ground. (Round your answers to three decimal places.)   Maximum Height =________________ ft? Point at which the ball strikes the ground= __________________ ft?

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.