What is the vertex of #y=(3x-4)^2-7#? Thank you so much, in advance.?

1 Answer
Jim G.
May 11, 2018

#"vertex "=(4/3,-7)#

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"#

#"take out a factor of 3 from "(3x-4)^2#

#rArry=3(x-4/3)^2-7larrcolor(blue)"in vertex form"#

#"with "h=4/3" and "k=-7#

#rArrcolor(magenta)"vertex "=(4/3,-7)#

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