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.

Few animal stories have touched the human heart as deeply as that of Elsa, the lioness who bridged the wild and the human world. Made famous by the book and film Born Free , Elsa’s story is a landmark tale of love, conservation, and the difficult choice between possession and freedom.

Elsa died in 1961 from tick-borne illness, but her legacy lived on. The Born Free Foundation, established in her name, continues to fight against captive animal exploitation and for wildlife conservation worldwide.

Joy Adamson wrote Born Free: A Lioness of Two Worlds in 1960. It became an instant bestseller, translated into dozens of languages. The 1966 film, starring Virginia McKenna and Bill Travers, won two Academy Awards and introduced millions to the idea that wild animals belong in the wild, not in circuses or zoos.

In 1956, in what is now Kenya, George and Joy Adamson, a British game warden and his wife, were forced to kill a charging lioness. Only later did they discover she was protecting her cubs. Left orphaned, three tiny lion cubs were taken in by the couple. Two were sent to a zoo in Rotterdam, but the smallest—whom they named Elsa—stayed.

Unlike typical wildlife hand-rearing, the Adamsons refused to tame Elsa completely. She slept on Joy’s bed, played with the camp’s dogs, and followed George on patrols. But she was never beaten, caged, or trained to perform. Instead, they raised her with a singular goal: to give her back the wild.

Releasing a lion raised by humans was unprecedented. Elsa had no mother to teach her to hunt or fear other animals. The Adamsons spent months teaching her to stalk and kill prey, and to avoid dangerous rivals like buffalo and elephants. After several failed attempts and near-fatal mistakes, Elsa finally began to live on her own—hunting successfully and even mating with a wild male.

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.