1 answer

How do you write #f(x)= 3x^2-24x+45# in vertex form?

Question:

How do you write #f(x)= 3x^2-24x+45# in vertex form?

Answers

Given #f(x) = 3x^2-24x+45#

Vertex form is
#color(white)("XXXX")##f(x) = (x-a)^2 +b# with the vertex at #(a, b)#

#f(x) = 3x^2-24x+45#
#color(white)("XXXX")##f(x) = 3(x^2-8x) +45##color(white)("XXXX")#extracting the #m#

#color(white)("XXXX")##f(x) = 3(x^2-8x+16) + 45 - 3(16)##color(white)("XXXX")#completing the square

#color(white)("XXXX")##f(x) = 3(x-4)^2 -3##color(white)("XXXX")#vertex form

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