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What is the vertex form of #y=x^2+13x+30 #?

Answer 1

Genesis Allen

#y=(x+13/2)^2-49/4#

#"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"#

#y=x^2+2(13/2)x+169/4-169/4+120/4#

#color(white)(y)=(x+13/2)^2-49/4larrcolor(red)"in vertex form"#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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