The quadratic function f1x2  a1x  h22  k is in standardform.(a) The graph of f is a parabola with vertex1 , 2.(b) If a  0, the graph of f opens . In this casef1h2  k is the value of f. 2. The quadratic function f(x) = a(x – h)² + k is in standardform.(a) The graph of ƒ is a parabola with vertex(b) If a >0, the graph of f opensIn this casef(h) = k is thevalue of f.

fx=ax-h2+k a). The graph of f is a parabola with vertex h, k.

Answered: 2. The quadratic function f(x) = a(x –…

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 1E: To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.

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The quadratic function f1x2  a1x  h2
2  k is in standard
form.
(a) The graph of f is a parabola with vertex
1 , 2.
(b) If a  0, the graph of f opens . In this case
f1h2  k is the value of f.

2. The quadratic function f(x) = a(x – h)² + k is in standard
form.
(a) The graph of ƒ is a parabola with vertex
(b) If a >0, the graph of f opens
In this case
f(h) = k is the
value of f.

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