Question

Question #f07be

Answer 1

`(5,-4)" and "x=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 constant.

`y=(x-5)^2-4" is in this form"`

`"with "h=5" and "k=-4`

`rArr"vertex "=(5,-4)`

The parabola will have a maximum/ minimum dependent on.

`• "If "a>0" then minimum " uuu`

`• "If "a<0" then maximum" nnn`

`"here "a=1>0rArr" minimum at "(5,-4)`

The axis of symmetry passes through the vertex and is vertical with equation x = 5

graph{(y-x^2+10x-21)(y-1000x+5000)=0 [-10, 10, -5, 5]}