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Y ax2 bx c.
What is the domain of a quadratic parent function. Y x 2 5x 3. Domain of a function the domain of a function is the set of all allowable values of the independent variable commonly known as the x values. This article focuses on vertical translations.
Some functions will shift upward or downward open wider or more narrow boldly rotate 180 degrees or a combination of the above. Therefore the domain of the quadratic function in the form y ax2 bx c is all real values. The quadratic parent function is y x2.
The general form a quadratic function is. Y x 2. 0 0 line of symmetry.
For example for the family of quadratic functions having the general form displaystyle y ax 2 bx c the simplest function is. X 0 vertex. Domain of a quadratic function.
As with any function the domain of a quadratic function f x is the set of x values for which the function is defined and the range is the set of all the output values values of f. The graph of this function is shown below. Y 0 y intercept.
Here are a few quadratic functions. The range of a function is the set of all real values of y that you can get by plugging real numbers into x. Y x 2 5.
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