Is the graph of #y=-(x+7)^2-1# up or down? What is the vertex?

1 Answer
Jim G.
Jan 3, 2018

#"opens down and vertex "=(-7,-1)#

Explanation:

#"the standard form 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"#

#• " if "a>0" then graph opens upwards "uuu#

#• " if "a<0" then graph opens downwards "nnn#

#"here "a=-1" hence opens downwards"#

#y=-(x+7)^2-1" is in vertex form"#

#"with "(h,k)=(-7,-1)#

#rArrcolor(magenta)"vertex "=(-7,-1)#
graph{(y+x^2+14x+50)((x+7)^2+(y+1)^2-0.04)=0 [-10, 10, -5, 5]}

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