Question

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

Answer 1

`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]}