MHB Help with Pre Calc: Get Answers & Guidance

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To solve the quadratic equation $ax^2 + bx + c = 0$, the value of $c$ is identified as -12 from the graph. The vertex can be calculated using the formulas for the x-coordinate ($-b/2a$) and the y-coordinate ($-D/4a$). By substituting the known values into these formulas, the solution can be derived. Understanding these concepts is crucial for mastering precalculus. Proper application of these formulas will lead to accurate answers.
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It's easy, let's suppose the quadratic is $ax^2 +bx +c = 0$ From the graph we can say $c= -12$ and if you know that the vertex is given by ( $-b \over 2a$ , $-D \over 4a$ )
Put the values you will get the answer.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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