Question

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

Answer 1

`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`