Question

What is the axis of symmetry and vertex for the graph `y = –3(x + 8)^2 + 5`?

Answer 1

`x=-8," vertex "=(-8,5)`

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"`

`y=-3(x+8)^2+5" is in vertex form"`

`"with "(h,k)=(-8,5)`

`rArrcolor(magenta)"vertex "=(-8,5)`

`"since "(x+8)^2" then graph opens vertically"`

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

`"with equation "x=-8`