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   Name: ............................................................................................ Date: ........................................................ teach HOUSTON    –   UNIVERSITY OF HOUSTON Period: ..................................................... QUADRATIC FUNCTION What is the quadratic function? A polynomial of degree 2 i.e .  =   ++  () =   ++   where a ≠ 0  How the quadratic function looks on a graph? What is the parabola? Parabola is the name of the graph that represent a quadratic function  Name: ............................................................................................ Date: ........................................................ teach HOUSTON    –   UNIVERSITY OF HOUSTON Period: ..................................................... QUADRATIC FUNCTION What is the quadratic function? A polynomial of degree 2 i.e .  =   ++  () =   ++   where a ≠ 0  How the quadratic function looks on a graph? What is the parabola? Parabola is the name of the graph that represent a quadratic function   Name: ............................................................................................ Date: ........................................................ teach HOUSTON    –   UNIVERSITY OF HOUSTON Period: ..................................................... GRAPHING A QUADRATIC FUNCTION (PARABOLA) Complete the table below and graph the quadratic function:  () =   − 2 + 3  Complete the table below and graph the quadratic function:  () = −  − 2 + 3   x  () =   −+   Point -1  () = (____)  − (____) +   ( -1, ) 0  () = (____)  − (____) +   ( 0, ) 1  () = (____)  − (____) +   ( 1, ) 2  () = (____)  − (____) +   ( 2, ) 3  () = (____)  − (____) +   ( 3, ) x  () =   −+   Point -3  () = −(____)  − (____) +   ( -1, ) -2  () = −(____)  − (____) +   ( 0, ) -1  () = −(____)  − (____) +   ( 1, ) 0  () = −(____)  − (____) +   ( 2, ) 1  () = −(____)  − (____) +   ( 3, )   Name: Date: teach HOUSTON    –   UNIVERSITY OF HOUSTON Period: ..................................................... AXIS OF SYMMETRY OF A PARABOLA What is the axis of symmetry of a parabola? The axis of symmetry  of a parabola is a ______ line that divides the  parabola into two congruent halves. The axis of symmetry always passes through the _________ of the parabola. What is the vertex of a parabola? Parabolas  always have a lowest point (or a highest point, if the parabola  is upside-down). This point, where the parabola  _______ direction, is called the "  ________  "  Name: ............................................................................................ Date: ........................................................ teach HOUSTON    –   UNIVERSITY OF HOUSTON Period: ..................................................... AXIS OF SYMMETRY OF A PARABOLA What is the axis of symmetry of a parabola? The axis of symmetry  of a parabola is a ______ line that divides the  parabola into two congruent halves. The axis of symmetry always passes through the _________ of the parabola. What is the vertex of a parabola? Parabolas  always have a lowest point (or a highest point, if the parabola  is upside-down). This point, where the parabola  _______ direction, is called the "  ________  "     Name: ............................................................................................ Date: ........................................................ teach HOUSTON    –   UNIVERSITY OF HOUSTON Period: ..................................................... OPEN UP OR OPEN DOWN PARABOLA  () =   − 2 + 3    () = −  − 2 + 3   Open………..   Open…………   Example: State whether the quadratic function is open up or open down graph 1/  () = −7  +4 +3  2/  () = 2  + 6  3/  () = 3 +3   Name: ............................................................................................ Date: ........................................................ teach HOUSTON    –   UNIVERSITY OF HOUSTON Period: ..................................................... OPEN UP OR OPEN DOWN PARABOLA  () =   − 2 + 3    () = −  − 2 + 3   Open………..   Open…………   Example: State whether the quadratic function is open up or open down graph 1/  () = −7  +4 +3  2/  () = 2  + 6  3/  () = 3 +3     
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