Question

Quick please help!!!!

Answer 1

From the equation, we have

$h=-20, k =21 , a^2=20^2, b^2=21^2$

To find the vertex and focus, we have to use the following formula

$Vertices =(h, k+-a) \\ Focii = (h,k+-c)$

And

$c = \sqrt{a^2 + b^2} = \sqrt{400+441} = 29$

So, we have

$Vertices=(-21,20+-20) \\ Focii=(-21, 20+-29)$

$Vertices =(-21,0),(-21,40) \\ focii=(-21,-9),(-21,49)$