Assertion: parabola | /r/HasProperty | symmetric
Facets:
value: about axis
type: OTHER
value: about y
type: DEGREE
value: about open
type: DEGREE
value: leftward
type: DEGREE
value: about a vertical line
type: OTHER
Source sentences:
text: The parabola is symmetric about its axis, moving farther from the axis as the curve recedes in the direction away from its vertex.
text: Another aid to use when graphing parabolas is the axis of symmetry; a parabola is symmetric about a vertical line that runs through the vertex.
text: Though the width, location and direction of the parabola will vary based on the specific function being graphed, all parabolas are generally "U" shaped (sometimes with a few extra fluctuations in the middle) and are symmetric on both sides of their center point (also known as the vertex.)
text: A parabola is symmetric with respect to its axis.
text: Parabolas are symmetric, and their lines of symmetry pass through the vertex.
text: y² = 4ax is the standard equation of the parabola which is symmetric about x axis and open rightward.
text: (y-k)² = 4a(x-h) is the standard equation of the parabola which is symmetric about x axis and open rightward but vertex is (h, k)
text: = -4ax is the standard equation of the parabola which is symmetric about x axis and open rightward.
text: (x-h) is the standard equation of the parabola which is symmetric about x axis and open leftward but vertex is (h, k)
text: = 4ay is the standard equation of the parabola which is symmetric about y axis and up rightward.
text: (x-h)² = 4a(y-k) is the standard equation of the parabola which is symmetric about y axis and open upward but vertex is (h, k)
text: = -4ay is the standard equation of the parabola which is symmetric about y axis and down rightward.
text: (x-h)² = -4a(y-k) is the standard equation of the parabola which is symmetric about y axis and open downward but vertex is (h, k)
text: A parabola is symmetric with its axis.