Question

How would I solve this?

Answer 1

\[\large \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} \longrightarrow \frac{(x-(-4))^2}{3^2} -\frac{(y-(-3))^2}{4^2}=1\]

Answer 2

On the left you have the equation of a hyperbola, and the right arrow is what the equation of the hyperbola translates into, which is your function

Answer 3

To find the foci and vertices, we need to identify what the center is.

center : \((h,k)\)

Answer 4

That's wrong, sorry.

Answer 5

hmm

Answer 6

?...

Answer 7

-4,-3

Answer 8

Good.

Answer 9

Now the foci lie along the horizontal transverse axis, what you know as the major axis. Therefore to find their location, we use the formula \[(h+c),k ~,~ (h-c),k~~, c^2=a^2+b^2 \longrightarrow c=\sqrt{a^2+b^2}\]

Answer 10

c=5

Answer 11

(1, -3,) (-9,-3)

Answer 12

To find the vertices, you use the equation \[{(h+a),k} ~,~ {(h-a),k}\]

Answer 13

(-1, -3) (-7,-3)

Answer 14

?

Answer 15

Yes, c = 5.

You are right.

Answer 16

Thank you, could you help me with one more?

Answer 17

Sure, i can try

Answer 18

Thanks :) This is like the opposite I guess.

Answer 19

@Jhannybean