Question

Find the vertices and foci of the hyperbola with equation

Answer 1

= 1 @jim_thompson5910 can you help me with this please?

Answer 2

Vertices: (5, 0), (5, -8); Foci: (5, -8), (5, 0)

Vertices: (5, -1), (5, -7); Foci: (5, -9), (5, 1)

Vertices: (-1, 5), (-7, 5); Foci: (-9, 5), (1, 5)

Vertices: (0, 5), (-8, 5); Foci: (-8, 5), (0, 5)
these are the answers. I think it's B but i'm not really sure. @jim_thompson5910

Answer 3

From the hyperbola equation the hyperbola opens left and right.

(h,k) is the center which is ( -4, 5)

a² = 9 , a = 3
b² = 16, b = 4
c² = a² + b² = 25, c = 5

Vertices : ( h± a , k) , ( -4 +3 , 5) and ( -4-3,5)
(-1,5) and (-7,5)

Foci : ( h ± c , k), (-4 -5, 5) and ( -4 +5 , 5)
(-9,5) and (1,5)

Answer 4

@rajee_sam thank you so much! could you help with one more?

Answer 5

yeah 'll try

Answer 6

The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.

Answer 7

i have no idea how to check it. here are the answer choices:
r = 2 - 2 cos θ

r = 2 - 2 sin θ

r = 3 - cos θ

r = 2 - 3 cos θ

Answer 8

This is a polar graph. Let me see how to explain it to you.

Answer 9

nevermind i got it thanks @rajee_sam