document.write( "Question 616517: Show the vertex forms of a parabola y= 1/4c(x-h)² + k. Can you explain how to find the vertex, focus, and diretrix from the vertex form, and show how to graph a parabola \n" ); document.write( "

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Show the vertex forms of a parabola y= 1/4c(x-h)² + k. Can you explain how to find the vertex, focus, and diretrix from the vertex form, and show how to graph a parabola
\n" ); document.write( "**
\n" ); document.write( "y= (1/4c)(x-h)² + k
\n" ); document.write( "rewrite equation
\n" ); document.write( "(y-k)=(1/4c)(x-h)²
\n" ); document.write( "(x-h)^2=4c(y-k)
\n" ); document.write( "This is an equation of a parabola that opens upwards.
\n" ); document.write( "vertex:(h,k)
\n" ); document.write( "axis of symmetry: x=h
\n" ); document.write( "focus: c distance above vertex on the axis of symmetry
\n" ); document.write( "directrix:c distance below vertex on the axis of symmetry
\n" ); document.write( "..
\n" ); document.write( "Graphing:
\n" ); document.write( "Having the (x,y) coordinates of the vertex and knowing that the parabola opens upwards can give you a good idea what the curve looks like. For more completeness, you can use x or y intercepts and the knowledge that the curve has an axis of symmetry. \n" ); document.write( "

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