What is the vertex form of # y = 2x^2 + 8x − 3 #?

1 Answer
Jim G.
Dec 23, 2017

#y=2(x+2)^2-11#

Explanation:

#"the equation of a parabola in "color(blue)"vertex form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))#

#"where "(h,k)" are the coordinates of the vertex and a"#
#"is a multiplier"#

#"to obtain this form use "color(blue)"completing the square"#

#• " the coefficient of the "x^2" term must be 1"#

#rArry=2(x^2+4x)-3#

#• " add/subtract "(1/2"coefficient of x-term")^2" to"#
#x^2+4x#

#y=2(x^2+2(2)xcolor(red)(+4)color(red)(-4))-3#

#color(white)(y)=2(x+2)^2-8-3#

#rArry=2(x+2)^2-11larrcolor(red)"in vertex form"#

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