Question

Find an equation in standard form for the hyperbola with vertices at (0, ±8) and asymptotes at y = ±4/ 3x

Answer 1

y2/9 - x2/16=1

Answer 2

not quite

Answer 3

i think i got it

Answer 4

y2/64-x2/36=1

Answer 5

right

Answer 6

can u help me with this one

Answer 7

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = -4 + 5 cos θ

Answer 8

how would you check if it's symmetrical over the x-axis?

Answer 9

the -4

Answer 10

i think its symmtrical over the y axis?

Answer 11

it's not symmetrical over the y-axis, but it's symmetrical over the x-axis

Answer 12

oh ok

Answer 13

if f(-θ) = f(θ), then it's symmetrical over the x-axis
if f(pi-θ) = f(θ), then it's symmetrical over the y-axis
if you replace r with -r and you get the same equation, it's symmetrical over the origin