# How do you find the vertex of #y=2(x+4)^2-7#?

##### 2 Answers

May 4, 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+4)^2-7" is in this form"#

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

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

May 4, 2017

The standard vertex form form is:

where

#### Explanation:

Change the given equation,

into the form of equation [1] by changing the plus sign into two minus signs:

Matching equation [2] with equation [1], we can see that the vertex is,