EXAMPLE 3 Maximum Value of a Quadratic Function Consider the quadratic function f(x) = -x² + x + 2. (a) Express f in standard form. (b) Sketch a graph of f. (c) Find the maximum value of f.

College Algebra
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ISBN:9781305115545
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Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 2E: Graphs of Quadratic Functions A quadratic function isgiven. (a) Express the function in standard...
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EXAMPLE 3 Maximum Value of a Quadratic Function
Consider the quadratic function f(x) = -x² + x + 2.
(a) Express f in standard form.
(b) Sketch a graph of f.
(c) Find the maximum value of f.
Transcribed Image Text:EXAMPLE 3 Maximum Value of a Quadratic Function Consider the quadratic function f(x) = -x² + x + 2. (a) Express f in standard form. (b) Sketch a graph of f. (c) Find the maximum value of f.
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