The parent function of the quadratic family is f(x) = x 2 . A transformation of the graph of the parent function is represented by the function g(x) = a(x − h) 2+ k, where a ≠ 0. Match each quadratic function with its graph. Explain your reasoning. Then use a graphing calculator to verify that your answer is correct.
One of the most exciting areas of technology and nature is the development of smart cities. By integrating technology and nature in urban environments, we can create more sustainable and livable cities. Smart cities can use sensors to monitor air and water quality, renewable energy to power homes and businesses, and green spaces to provide habitat for wildlife and improve quality of life for residents.

Praetorians - HD Remaster: A Classic RTS Reborn is a modern reimagining of the 2003 real-time strategy (RTS) classic. Developed by Kalypso Media, this remaster breathes new life into the celebrated title, allowing a new generation of players to experience the tactical depth of the Roman Empire's greatest military campaigns. Unlike many RTS games of its era that focused heavily on base building and resource gathering, Praetorians focuses almost entirely on tactical unit management and battlefield strategy. Visual and Technical Upgrades

: A reworked online component allows for easier matchmaking and competitive play.

: Playable on PlayStation 4 and Xbox One (and via backward compatibility on PS5 and Xbox Series X|S).

The most immediate change in the HD Remaster is the visual overhaul. The game features:

Praetorians - HD Remaster is available on several platforms, ensuring accessibility for all types of strategy fans: : Available via Steam and GOG.

While the remaster stays faithful to the original's soul, its sharpened edges and technical reliability make it the definitive way to experience one of the most unique tactical games in RTS history.

: Well-rounded and disciplined, specializing in versatile formations like the Testudo .

In the realm of physics, the quantum world tantalizes with mysteries that challenge our classical understanding of reality. Quantum particles can exist in multiple states simultaneously—a phenomenon known as superposition—and can affect each other instantaneously over vast distances, a property called entanglement. These principles not only shake the very foundations of how we perceive objects and events around us but also fuel advancements in technology, such as quantum computing and ultra-secure communications. As researchers delve deeper, experimenting with entangled photons and quantum states, we edge closer to harnessing the true power of quantum mechanics, potentially revolutionizing how we process information and understand the universe’s most foundational elements.