What is the axis of symmetry and vertex for the graph #y = (x – 1)^2 – 16#?

1 Answer
Jim G.
Jul 15, 2017

#x=1" and "(1,-16)#

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=(x-1)^2-16" is in this form"#

#"with " h=1" and " k=-16#

#rArrcolor(magenta)"vertex "=(1,-16)#

#"since " a>0" this graph opens up vertically"#

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

#"with equation "x=1#

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