Question

Function, y=ax²+bx+c, is called a parabola. Parab Parabola

Answer 1

A function in the form
`\(y = ax^2 + bx + c\)` is indeed a quadratic function and represents a parabola.

Step-by-step explanation:

The function
`\(y = ax^2 + bx + c\)` is a quadratic function, where
`\(a\)`,
`\(b\)`, and
`\(c\)` are constants. This function represents a parabola when graphed on a coordinate plane. The general shape of a parabola is a symmetric U or inverted U.

The coefficient
`\(a\)` determines the direction and width of the parabola. If
`\(a\)`is positive, the parabola opens upwards, and if
`\(a\)` is negative, it opens downwards. The constants
`\(b\)` and
`\(c\)` affect the position and orientation of the parabola.

Government land use controls play a crucial role in shaping the development and organization of urban and rural spaces. A city or country's master plan, which outlines the framework for land use, zoning regulations, and development guidelines, falls under the category of these controls.

The authority for implementing such plans is primarily derived from the government's police power. Police power refers to the government's inherent authority to regulate and control certain aspects of public life to ensure the health, safety, and welfare of its citizens.

This power grants the government the ability to create and enforce rules and regulations that prevent activities or developments that might be detrimental to the well-being of the community. In the context of urban planning and land use, master plans are formulated to guide the growth and development of a city or country in a way that promotes public safety, efficient infrastructure, and overall quality of life.

In summary, the correct answer is A. A function in the form
`\(y = ax^2 + bx + c\)` is indeed a quadratic function and represents a parabola.