Question

(x-4)^2/36-(y-2)^2/9=1 find the vertices.

Answer 1

so this is elipse question huh?

Answer 2

elipse centre would be (4,2).

Answer 3

its x vertices will be 4 going left and right 6 units, and y vertices will be 3 going up and down, from its centre.

Answer 4

ok got the center and how do u know which way to go.

Answer 5

so @katherine.ok how do u now which way to move.

Answer 6

The square root of denominator under x IS the horizontal radius, and the square root of denominator under Y is the vertical radius.

Answer 7

that is why i said its gonna move 6 units left and right and 3 units up and down from its centre.

Answer 8

so those coordinates are my vertices.

Answer 9

no. you are going to move 6 units left from 4 to get (-2,0), and 6 units right from 4 to get (10,0)

Answer 10

you are going to move 3 units up from 2 to get (0,5), and 3 units down from 2 to get (0,-1)

Answer 11

but dont u move starting from the center.

Answer 12

Note, this is actually a hyperbola, not an ellipse (there's a minus sign between the summands).

Answer 13

X-coordinates of vertices are 6 units to the left and right of x=4 and Y-coordinate is 2 units above the x-axis: 1st Vertex @ (4-6,2), 2nd Vertex @ (4+6,2)

Answer 14

thank u @ybarrap but its to late I turned in my homework already. I now now for future problems.