Transcription of 2.3 Quadratic Functions - Sam Houston State University
{{id}} {{{paragraph}}}
188 Linear and Quadratic Quadratic FunctionsYou may recall studying Quadratic equations in Intermediate Algebra. In this section, we reviewthose equations in the context of our next family of Functions : the Quadratic functionis a function of the formf(x) =ax2+bx+c,wherea,bandcare real numbers witha6= 0. The domain of a Quadratic function is ( , ).The most basic Quadratic function isf(x) =x2, whose graph appears below. Its shape should lookfamiliar from Intermediate Algebra it is called aparabola. The point (0,0) is called thevertexof the parabola. In this case, the vertex is a relative minimum and is also the where the absoluteminimum value offcan be found.( 2,4)( 1,1)(0,0)(1,1)(2,4)xy 2 1121234f(x) =x2 Much like many of the absolute value Functions in Section , knowing the graph off(x) =x2enables us to graph an entire family of Quadratic Functions using the following Functions starting with the graph off(x) =x2and usingtransformations.
190 Linear and Quadratic Functions which gives (x 3)2 = 1 2.Extracting square roots 1 gives x 3 = p 2 2, so that when we add 3 to each side, 2we get x= …
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document:
{{id}} {{{paragraph}}}