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 web series (2024), streaming on ALTT (formerly AltBalaji), is a crime drama centered on the high-stakes rivalry between two powerful drug lords. The central conflict escalates when a pop star is caught in their crossfire and murdered, prompting a senior police official to intervene and attempt to dismantle their criminal networks. Series Overview & Narrative Themes

Fans eagerly awaiting the release of "Don's Darlings" can expect a series that embodies the best of Indian entertainment. Here are a few aspects that make this show a must-watch:

Character work in these episodes is subtle and effective. Protagonists who had been presented as either textbook antiheroes or sympathetic wrongdoers reveal fissures—moments of regret, moral calculation, or brittle self-justification. Supporting characters step forward with surprising agency: a lieutenant grappling with conscience, a family member forced into complicity, or a rival whose calculated restraint signals a deeper strategy. These personal arcs are the show’s emotional engine. Rather than melodrama, the series opts for quiet build-up: a look exchanged across a room, a delayed response to violence, or the private unspooling of a seemingly confident leader. Such choices ground the spectacle in human stakes.

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.