Forms of A Quadratic Function
A quadratic function can be expressed in three formats:
- is called the standard form,
- is called the factored form, where and are the roots of the quadratic equation, it is used in logistic map
- is called the vertex form, where h and k are the x and y coordinates of the vertex, respectively.
To convert the standard form to factored form, one needs only the quadratic formula to determine the two roots and . To convert the standard form to vertex form, one needs a process called completing the square. To convert the factored form (or vertex form) to standard form, one needs to multiply, expand and/or distribute the factors.
Read more about this topic: Quadratic Function
Famous quotes containing the words forms of, forms and/or function:
“How superbly brave is the Englishman in the presence of the awfulest forms of danger & death; & how abject in the presence of any & all forms of hereditary rank.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Ye know why the forms are fair, ye hear how the tale is told:
It is all triumphant art, but art in obedience to laws,”
—Robert Browning (1812–1889)
“As a medium of exchange,... worrying regulates intimacy, and it is often an appropriate response to ordinary demands that begin to feel excessive. But from a modernized Freudian view, worrying—as a reflex response to demand—never puts the self or the objects of its interest into question, and that is precisely its function in psychic life. It domesticates self-doubt.”
—Adam Phillips, British child psychoanalyst. “Worrying and Its Discontents,” in On Kissing, Tickling, and Being Bored, p. 58, Harvard University Press (1993)