![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
Observe the given graph of conic :
\The function ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=346b9dab376bce39a1fd258f3e761708.png\")
represents a parabola.
The standard form of parabola is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=46509316209b7e4a7a47d2adad672686.png\")
.
Compare with .
The values of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5beeffc0938f383eaf93ebda5ecde903.png\")
.
The vertex is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=44300840d7a7c6c613b89a797f22ac6e.png\")
and axis is horizontal.
The focus is 2 unite above or below the vertex.
\Moreover, p = 2, it follows that the focus lies above the vertex.
\The graph of the parabola has been shifted 2 units to the left and 1 unit upward from standard position.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The graph of the parabola is horizontal shift 2 units to the left and vertical shift 1 unit upward from standard position.