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0 obj << /Type /Font /Subtype /Type1 /BaseFont /Helvetica /Encoding /WinAnsiEncoding >> endobj 6 0 obj << /Length 7 0 R >> stream Graphing Quadratic Functions The graph of a quadratic function is a parabola. <-The veftex isthe turning point. ' It can open up with, i the vertex being ai i minimum\/ .-The vefiex isthe tumrng point. Standard:formula x Or it can open downwith the vertexbeing a maximum Finding the vertex is necessary to graph the parabola and for answering anyquestions regarding maximums and minimums.The two formats that we use for quadratic functions are listed below.General: y or f (x) - o(, - h)t + k wherethevertex is (h, k)or y or f (x) - ax'+ bx + c wherethevertexcan befound bytheb= -; and y is found by plugging the x into the function. ln either format the "a" is the same value. lf a is positive, the parabola opens upand if it is negative, the parabola opens down.To Graph a Parabola:1. Find and plot the vertex2. Pick two x values smaller (or larger) than the x-coordinate of the vertex.Find the y-values and plot the points.3. Draw your line of symmetry locate the image of the points from step 2on the other side of the line of symmetry.4. Draw the parabola.On problems where you are asked to maximize or minimize a value you will findthe vertex of the parabola. 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