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1. There exist constants a, h, and k such that \(3x^2 + 12x + 4 = a(x - h)^2 + k\)
for all real numbers x. Enter the ordered triple (a,h,k)

 

 

2. Geometrically speaking, a parabola is defined as the set of points that are the same distance from a given point and a given line. The point is called the focus of the parabola and the line is called the directrix of the parabola.

Suppose \(\mathcal{P}\) is a parabola with focus \((4,3)\) and directrix \(y=1\). The point \((8,6)\) is on \(\mathcal{P}\) because \((8,6)\) is \(5\) units away from both the focus and the directrix.

If we write the equation whose graph is \(\mathcal{P}\) in the form \(y=ax^2 + bx + c\), then what is \(a+b+c\)?

 Jul 2, 2020
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ASAP PLEASE!

 Jul 3, 2020

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