Determine whether the quadratic function shown below has a minimum ormaximum, then determine the minimum or maximum value of the function.f (x) = -(x- 1)(x – 4)Thevalue isSubmit Answerattempt 1 out of 2/problem 1 out of mPrivacy Policy Terms of ServiceCopyright 2021 DeltaMath.com All Rights Reserved

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Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function. f (x) = -(x – 1)(x – 4) The value is

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 2E: The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with...

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Question

Determine whether the quadratic function shown below has a minimum or
maximum, then determine the minimum or maximum value of the function.
f (x) = -(x- 1)(x – 4)
The
value is
Submit Answer
attempt 1 out of 2/problem 1 out of m
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Copyright 2021 DeltaMath.com All Rights Reserved

Expert Solution

Step 1

The given quadratic function is $f (x) = - (x - 1) (x - 4)$ .

Simplify the given quadratic equation as follows.

$\begin{array}{rcl} f (x) & = & - (x - 1) (x - 4) \\ = & - [x^{2} - x - 4 x + 4] \\ = & - x^{2} + 5 x - 4 \end{array}$

Thus, the quadratic function is $f (x) = - x^{2} + 5 x - 4$ .

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