What is the axis of symmetry and vertex for the graph #f(x)=(x-5)^2 - 9#?

1 Answer
Dec 17, 2017

#x=5" and "(5,-9)#

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"#

#f(x)=(x-5)^2-9" is in this form"#

#"with "(h,k)=(5,-9)#

#rArrcolor(magenta)"vertex "=(5,-9)#

#"the axis of symmetry passes through the vertex is verical"#
#"with equation"#

#x=5larrcolor(blue)"axis of symmetry"#
graph{(y-x^2+10x-16)(y-1000x+5000)=0 [-20, 20, -10, 10]}