Assertion: parabola's point | /r/AtLocation | the parabola
Facets:
Source sentences:
text: j {\displaystyle {\frac {y_{i}-y_{j}}{x_{i}-x_{j}}}=x_{i}+x_{j}} if the points are on the parabola.)
text: (Proof: straightforward calculation: If the points are on a parabola, one may translate the coordinates for having the equation y = a x 2 {\displaystyle y=ax^{2}} , then one has y
text: At the positive x end of the chord, x = c/2 and y = d. Since this point is on the parabola, these coordinates must satisfy the equation above.
text: The point (x,y) is on the parabola if and only if EF = EG
text: Given the vertex is at V(1,2) and the point (3,4) is on the parabola, find the coordinates of the focus.
text: Therefore for a point to be on a parabola, the distance from the point to the focus must be equal to the distance from the point to the directrix.