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.

Nico Santos, the German-Spanish singer-songwriter known for hits like "Rooftop," entered a new chapter in his life in by marrying his longtime partner, Aileen . The couple held a private, romantic ceremony in Mallorca , an island that holds deep personal significance for Santos as he spent much of his youth there.

Following the wedding, Santos shared that he was "very happy," noting that the stability of his personal life provided a beautiful balance to his high-energy music career. This sense of fulfillment was reflected in his work at the time, as he continued to dominate the charts while expressing a newfound sense of and groundedness in interviews.

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.