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

##### 2 Answers

Aug 11, 2017

**Vertex is at** **Axis of symmetry is**

#### Explanation:

Comparing with standard vertex form of equation

Axis of symmetry is

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

Aug 11, 2017

#### 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#