Alg2C 8D1 Notes Chapter 8 - Quadratics day 1 Quadratic: A U-shaped graph, which is called a parabola. The equation has to be in the form Ex 1) Determine if the graphs are linear, quadratic or neither. Find the domain and range of each graph. A) B) Type of Graph:___________ Type of Graph:___________ Domain:____________ Domain:_______________ Range:_____________ Range:________________ C) D) Type of Graph:___________ Type of Graph:___________ Domain:____________ Domain:_______________ Range:_____________ Range:________________ Alg2C 8D1 Notes Standard form of a quadratic: if a>0 (positive) if a<0 (negative) Ex 2) Write the following quadratics in standard form. A) f(x) = -2x(x-1)+2(x-3) B) f(x) = (x-2)(2x-3) f(x)=____________ f(x)=____________ Opens:__________ Opens:__________ Max/Min:_________ Max/Min:_________ Vertex of a parabola: Highest or lowest point of a parabola. Axis of symmetry - The vertical line that goes through the vertex of the parabola, so that the graph is symmetric over the line. Alg2C 8D1 Notes Ex 3) Given the graph, answer the following . Opens ________ maximum or minimum?_________ y-intercept ______ x-intercepts ___ vertex axis of symmetry domain: range: ___ Ex 4) Given the graph, answer the following . Opens ________ maximum or minimum?_________ y-intercept ______ x-intercepts ___ vertex axis of symmetry domain: range: __
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