What is the axis of symmetry and vertex for the graph #y=2(x+3)^2+6#?

2 Answers
Binayaka C.
Aug 11, 2017

Vertex is at # (-3 ,6)#. Axis of symmetry is # x= -3#

Explanation:

# y =2(x+3)^2+6#

Comparing with standard vertex form of equation

#y = a(x-h)^2 +k ; (h,k)# being vertex , we find here

#h = -3 . k =6# So Vertex is at # (-3 ,6)#.

Axis of symmetry is #x =h or x= -3#

graph{2(x+3)^2+6 [-40, 40, -20, 20]}

Jim G.
Aug 11, 2017

#x=-3,(-3,6)#

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 constant.

#y=2(x+3)^2+6" is in this form"#

#"with "h=-3" and "k=6#

#rArrcolor(magenta)"vertex "=(-3,6)#

#"the axis of symmetry passes through the vertex, is vertical"#

#"with equation "x=-3#

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