Question

What is the vertex of `y=(3x-4)^2-7`? Thank you so much, in advance.?

Answer 1

`"vertex "=(4/3,-7)`

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"`

`"take out a factor of 3 from "(3x-4)^2`

`rArry=3(x-4/3)^2-7larrcolor(blue)"in vertex form"`

`"with "h=4/3" and "k=-7`

`rArrcolor(magenta)"vertex "=(4/3,-7)`