# Vertex of the Parabola - Apllied Math

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Sketch Y = X² -6X + 5. Find and label the vertex of the parabola.

### Comments for Vertex of the Parabola - Apllied Math

 Feb 26, 2012 Vertex of the Parabola by: Staff Question:Sketch Y = X² - 6X + 5. Find and label the vertex of the parabola.Answer:y = x² - 6x + 5the general form of a parabola is: y = ax² + bx + xthe quadratic formula is:x = (-b/2a) ± [√(b² - 4ac)/2a]the x coordinate of the vertex of the parabola is:x_vertex = (-b/2a) for your equation:a = 1b = -6x_vertex = -(-6)/(2*1) x_vertex = 6/2 x_vertex = 3now that you know the x coordinate of the vertex, substitute this value in the original equation to compute yy = x² - 6x + 5x = 3y = 3² - 6*3 + 5y = 9 - 18 + 5y = -4the coordinates of the vertex in x,y format are: (3, -4)You can also compute the vertex by rewriting the equation as follows:y = x² - 6x + 5y = (x² - 6x) + 5y = [x² - 2*(-3x) + 9 - 9] + 5y = (x - 3)² - 9 + 5y = (x - 3)² - 4As you can see, the vertex is (3, -4)You can view a graph of the function y = x² - 6x + 5 by opening the following link:(1) If your browser is Firefox, click the following link to VIEW the graph; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter: Use the Backspace key to return to this pagehttp://www.solving-math-problems.com/images/vertex-parabola-01-2012-02-26.pngThanks for writing.Staff www.solving-math-problems.com