Assertion: ellipse | /r/HasProperty | centered at the origin
Facets:
value: with b
type: OTHER
value: with −
type: OTHER
value: with y -intercepts 2
type: OTHER
value: with a
type: OTHER
value: in standard form
type: OTHER
Source sentences:
text: The standard equation for an ellipse, x 2 / a 2 + y2 / b 2 = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes.
text: If the ellipse is centered on the origin, ( its center at 0,0 ) the equation is where
text: Ellipses are symmetrical, so the coordinates of the vertices of an ellipse centered around the origin will always have the form ( ± a , 0 ) ( ± a , 0 ) or ( 0 , ± a ) .
text: How To Given the vertices and foci of an ellipse centered at the origin, write its equation in standard form.
text: Can we write the equation of an ellipse centered at the origin given coordinates of just one focus and vertex?
text: To derive the equation of an ellipse centered at the origin, we begin with the foci ( − c , 0 )
text: This equation defines an ellipse centered at the origin.
text: Given the vertices and foci of an ellipse centered at the origin, write its equation in standard form.
text: Can we write the equation of an ellipse centered at the origin given coordinates of just one focus and vertex?
text: When given an equation for an ellipse centered at the origin in standard form, we can identify its vertices, co-vertices, foci, and the lengths and positions of the major and minor axes in order to graph the ellipse.
text: Deriving the Equation of an Ellipse Centered at the Origin To derive the equation of an ellipse centered at the origin, we begin with the foci \((−c,0)\) and \((c,0)\).
text: Thus, the standard equation of an ellipse is \(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\).This equation defines an ellipse centered at the origin.
text: How to: Given the vertices and foci of an ellipse centered at the origin, write its equation in standard form Determine whether the major axis lies on the x- or y-axis.
text: Can we write the equation of an ellipse centered at the origin given coordinates of just one focus and vertex?
text: c2 gives me 9  4 = 5 = b2 , and this is all I need to create my equation: Write an equation for the ellipse centered at the origin, having a vertex at (0, 5) and containing the point (2, 4) .
text: The ellipse centered at the origin with x -intercepts a and − a , and y -intercepts b and − b , has equation
text: This ellipse is centered at the origin, with x -intercepts 3 and − 3, and y -intercepts 2 and − 2.
text: and that is the standard equation for an ellipse centered at the origin.
text: If the ellipse is centered on the origin (0,0) the equations are
text: Take the input and ellipse centre and obtain the first point on an ellipse centered on the origin as a (x,y 0 )= (0,r y ).
text: I want to fit an ellipse centered on the origin to a set of data points.
text: Ellipses are symmetrical, so the coordinates of the vertices of an ellipse centered around the origin will always have the form ( ± a , 0 )
text: Ellipses are symmetrical, so the coordinates of the vertices of an ellipse centered around the origin will always have the form \((\pm a,0)\) or \((0, \pm a)\).