What is the vertex of # y = 2 (x - 4)^2 + 5 #?

2 Answers
Apr 22, 2018

(4,5)

Explanation:

#a(x-h)^2+k#
#(h,k)# is vertex

Apr 22, 2018

#"vertex "=(4,5)#

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"#

#y=2(x-4)^2+5" is in vertex form"#

#"with "h=4" and "k=5#

#rArrcolor(magenta)"vertex "=(4,5)#