# What is the axis of symmetry and vertex for the graph #y = –3(x + 8)^2 + 5#?

##### 1 Answer

Apr 13, 2018

#### 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=-3(x+8)^2+5" is in vertex form"#

#"with "(h,k)=(-8,5)#

#rArrcolor(magenta)"vertex "=(-8,5)#

#"since "(x+8)^2" then graph opens vertically"#

#"the axis of symmetry passes through the vertex"#

#"with equation "x=-8#