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What is the equation of the parent quadratic function?

x2


Define parent function?

A parent function refers to the simplest function as regards sets of quadratic functions


What is the parent function for a quadratic function?

y = x2 is the parent function, but it can be in the form y = ax2 + bx + c


What is a key property of the quadratic parent function?

Parabal


What is the maximum and minimum of quadratic function parent function?

The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....


Is a parent function a parabola?

A parent function is a basic function that serves as a foundation for a family of functions. The quadratic function, represented by ( f(x) = x^2 ), is indeed a parent function that produces a parabola when graphed. However, there are other parent functions as well, such as linear functions and cubic functions, which produce different shapes. Therefore, while the parabola is one type of parent function, it is not the only one.


What are the domain and range of the quadratic parent function?

The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).


What is the best description of the relationship between a quadratic parent function and a square root function?

The quadratic parent function, represented by ( f(x) = x^2 ), produces a parabolic graph that opens upward, while the square root function, represented by ( g(x) = \sqrt{x} ), results in a graph that starts at the origin and increases gradually. Both functions are defined for non-negative values of ( x ), but they exhibit different characteristics: the quadratic function is symmetric and continuous, whereas the square root function has a domain of ( x \geq 0 ) and increases at a decreasing rate. Overall, they are distinct types of functions with different shapes and behaviors.


If you flip the graph of the quadratic parent function f(x)x2 over the x-axis what is the equation of the new function?

g(x)=x^-2 thanks go like my youtube MATH VIDEOS TO GET HELP


What is the parent function for the exponential function?

The parent function of the exponential function is ax


What is fundamental operation?

A fundamental operation, also known as the parent function. Is a function in its most basic form. For example the fundamental operation of 3x^2+2 is x^2 and the fo for 15(sin(24x)) is sin(x). Another definition is that you have to be able to change the parent function with geometry (dilation, translation, and flip) to get the function you have.


Which parent function is represented by the graph?

Reciprocal parent function