In the equation for an ellipse, what does the (h,k) stand for?
What is the center
100
The "a" value of an ellipse represents the distance from the center to a __________
What is vertex
100
The "b" value in an ellipse represents the distance from the center to a ______
What is co-vertex
100
The "c" value of an ellipse represents the distance from the center to a ________
What is focus
100
In an ellipse, 2a is the length of the ________ axis.
What is major
200
If the b squared is under the y squared in the formula for an ellipse, then the ellipse is ________
What is horizontal
200
True or False
The b value is always larger than the c value for an ellipse.
What is false
200
True or False
The c value can sometimes be larger than the a value for an ellipse.
What is false
200
True or False
To find the vertices in a horizontal ellipse, you take half the "a" squared value and count that many spaces to the right and left of the center.
What is false
200
How do you find the c-value if you know the a and b values for an ellipse?
What is c squared = a squared - b squared
300
Find the vertices of a vertical ellipse centered at (-2,3) with a = 7
What is (-2,10) and (-2, -4)
300
Find the co-vertices of a horizontal ellipse centered at (5,1) with b = 2
What is (5,3) and (5, -1)
300
Find the foci of a horizontal ellipse centered at (-3,-4) with c = 4
What is (1,-4) and (-7,-4)
300
If the foci of an ellipse are located at (-5,1) and (3,1), then find the center.
What is (-1,1)
300
Given (x - 3)^2 / 49 + (y + 2)^2 / 9 = 1
find the co-vertices
What is (3, -5) and (3,1)
400
If a vertex of an ellipse centered at the origin is located at (0,5) and a co-vertex is located at (4,0), then give the coordinates of a focus of the ellipse
What is either (0,3) or (0, -3)
400
Write the equation of an ellipse centered at (3, -4) with a vertex at (10,-4) and a co-vertex at (3,0).
What is
(x - 3)^2 / 49 + (y + 4)^2 / 16 = 1
400
Given (x + 1) ^ 2 / 64 + (y - 2)^2 / 49 = 1
find the co-vertices
What is ( -1,9) and ( -1, -5)
400
Given (x + 5)^2 / 36 + (y - 3)^2/81 = 1
find the vertices
What is (-5,12) and ( -5, -6)
400
If the foci of an ellipse are located at (4, -1) and (4,5) and the value of "a" is 6, find the vertices.
What is (4,8) and (4,-4)
500
If the vertices of an ellipse are located at (5,0) and (-1,0) and the co-vertices are located at (2,1) and (2,-1), then find the value of "c" for this ellipse
What is square root of 8 or 2 times square root 2
500
Explain how the location of the foci effect the shape of the ellipse. For example, what happens to the shape of the ellipse when the foci are closer to the vertices vs. when the foci are closer to the center.
What is The closer the foci are to the vertices the "narrower or skinnier" the ellipse becomes and when the foci are closer to the center it looks more circular.
500
Given 16x^2 + 9y^2 = 144
Find the foci
(0, square root of 7) and (0, neg square root of 7)
500
Given the equation of the ellipse, find the center.
25x^2 + 16y^2 + 150x -160y = -225
What is (-3,5)
500
Given the equation of the ellipse, find the vertices
2x^2 + y^2 + 8x + 4 = 0