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Monday, October 12, 2015

Parabola by vertex and a point

Problem:



Solution:

First of all, the parabola open downwards, the leading coefficient is negative.

The maximum y value is 4, that's why the last box should be 4. (The maximum of the negative of a square value is 0)

The maximum value attained when x = -5, that's why the middle box should be 5.

Last but not least, when x = -1, y = 0, the means k(-1 + 5)^2 + 4 = 0, that means the first box is -1/4

Therefore the equation is 14(x+5)2+4


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