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Chrome File Edit View History Bookmarks People Window Help N VA 10.4 Hyperbolas. x C Trigonometry question I Ch x Netflix C https /www.webassign, net web/Student/Assignment-Responses/submit?dep 1507 1235 7. C+ 48 points. I Previous Answers LarPCalc9 10.4.024 Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.) 1 center (x, y) 0,0 vertices x, y) 0, 3 smaller y-value) (x, y) 0, 3 larger y value) (x, y) foci (smaller y-value) (x, y) (larger y value) (negative slope) asymptotes (positive slope) sketch the hyperbola using the asymptotes as an aid. 10 10 54%D Tue 8:28 PM a E Alison My Notes Ask Your Teacher

Solution

Here centre =(0,0)

Vertices=(0,+-3)

focii=(h,k+c),(h,k-c)

Here a=3 and b=1

Therefore c=sqrt(a²+b²)= sqrt10

Hence focii= (0,+-sqrt10)

smaller value=(0,-sqrt10)

larger value=(0,sqrt10)

asymptotes

y=+-(a/b)(x-h)+k

y=+-(3/1)x

y=+-3x

negative slope

y=-3x

positive slope

y=3x