MHB What Are the Different Forms of Quadratic Equations?

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The discussion outlines the different forms of quadratic equations, specifically the vertex form and standard form. The vertex form is expressed as y = a(x-h)² + k, where (h,k) represents the vertex coordinates. The standard form is given by y = ax² + bx + c. Additionally, a link is provided for performing a quadratic regression using Desmos. Understanding these forms is essential for solving quadratic equations effectively.
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b) vertex form of a quadratic equation is $y =a(x-h)^2 + k$ where $(h,k)$ are the vertex coordinates

c) standard form of a quadratic equation is $y = ax^2 + bx + c$

d) link on how to do a Desmos quadratic regression

that's about all the help I can offer since this looks like a graded assignment
 

Thread 'Area of Overlapping Squares'

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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