Given ​ f(x)=x^2+8x+13 ​. what is the quadratic function in vertex form?

Please help I need the quadratic function in vertex form

1 Answer
Jim G.
Jul 24, 2018

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

Explanation:

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

#•color(white)(x)y=a(x-h)^2+k#

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

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

#f(x)=x^2+2(4)x+16-16+13#

#color(white)(f(x))=(x+4)^2-3larrcolor(red)"in vertex form"#

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