Question

Find the vertices and foci of the hyperbola with equation..

Answer 1

@Nnesha

Answer 2

do you know the difference between horizontal hyperbola and vertical hyperbola ?
which one is that ? vertical or horizontal

Answer 3

horizontal

Answer 4

the standard form for horizontal is \[\rm \frac{ (x-h)^2}{ a^2 }-\frac{(y-k)^2}{b^2}=1\]
if the x-coordinate above a then it's horizontal and if the y-coordiante above then it should be vertical
and (h,k) is the center and since it's horizontal y coordinate would stay the same of the center and vertices are \[\rm (h \pm a , k) \]
and foci at \[\rm (h \pm c , k)\]

Answer 5

to find c use the Pythagorean theorem c^2=a^2+b^2

Answer 6

vertices represent the distance b/w the center and vertex of both sides