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.

The NTV program "Beyond the Brink" (Za Granyu), aired on November 23, 2022, titled "A Mother’s Heroism," tells the harrowing and deeply moving story of , a mother from the Perm region who performed an unthinkable act of sacrifice to save her children. The Story: A Choice Between Life and Death

With the roof groaning and sparks showering down, Lyubov pushed her children through the opening into the cold air outside, where neighbors were waiting to catch them. She stayed in the inferno until the last child was clear. The Aftermath

Lyubov survived, but the cost was devastating. She suffered . Doctors initially gave her almost no chance of survival, describing her condition as "beyond the brink" of medical possibility.

On a quiet evening, a catastrophic fire broke out in the Bakhtin family home. Within minutes, the wooden structure was engulfed in thick, black smoke and roaring flames. Lyubov found herself trapped inside with her young children.

The program highlighted the community's response, showing how strangers across Russia rallied to provide financial support for her treatment and a new home for the family. The story remains one of the most emotional segments in the show's history, serving as a testament to the fact that a mother’s love can literally withstand fire.

The episode follows her grueling recovery process—the dozens of surgeries, the skin grafts, and the psychological toll of losing her home and her physical health. Despite the physical scars that changed her appearance forever, Lyubov expressed no regrets. To her, the "heroism" wasn't a choice; it was the only option a mother has. The Legacy

As the fire blocked the main exits, the heat became unbearable. Lyubov realized that the only way to save her children was to get them out through a small window. However, the intensity of the fire was so great that she knew she might not have the strength or time to save herself after ensuring they were safe.

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.