Pre-Calculus help with parabola

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Mathematics

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The parabola in the figure below has an equation of the form y=ax^2+bx-4. Find the equation of this parabola in two different ways, by hand and with technology (graphing utility or computer software). Write a paragraph describing the methods you used and comparing the results of the two methods.

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The parabola in the figure below has an equation of the form y = ax2 + bx - 4. Find the equation of the parabola using two different methods, by hand and with technology (graphing utility or computer software). Write a paragraph describing the methods you used and compare the results of the two methods.
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The parabola in the figure below has an equation of the form y = ax2 + bx - 4. Find the equation
of the parabola using two different methods, by hand and with technology (graphing utility or
computer software). Write a paragraph describing the methods you used and compare the results
of the two methods.

Given that the parabola equation 𝑦 = 𝑎𝑥 2 + 𝑏𝑥 − 4
From the graph provided, we obtain the following points:
(0, -4); (1,0); (2,2...


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