quadratic equation for discussion. please I need detailed explanation

timer Asked: Aug 27th, 2015
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Question description

a. $\footnotesize{y = x^2+8x+12}$
b. $\footnotesize{-(x+3)^2 - 6 = 0}$
c. $\footnotesize{y = (x+3)(x-2)}$
d. $\footnotesize{x^2 - 3x +3 = 0}$
e. $\footnotesize{f(x) = -0.35x^2 - 4.65x + 1.75}$
f. $\footnotesize{x^2 - 12x + 35 = 0}$
g. $\footnotesize{y = (x - 2.5)^2 - 1.25}$

1. What are some methods for calculating the vertex and axis of symmetry for each equation?
2. Determine which solution method you would prefer to use to solve each of the equations. What are the pros and cons of using that method for each situation?
3. In general, how would you decide which method is best for a given equation?
4. Without graphing each quadratic, what are some of the key features of the equation that will let you know what the graph will look like?

Tutor Answer

Duke University

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