Assertion: parabola | /r/HasProperty | tangent
Facets:
value: to the $x$-axis
type: OTHER
value: to the line
type: LOCATION
value: at the origin
type: LOCATION
value: with equation
type: OTHER
value: to the x-axis
type: LOCATION
Source sentences:
text: If the parabola only has 1 x-intercept (see middle of picture below), then the parabola is said to be tangent to the x-axis.
text: x of the parabola that is tangent to the line with equation y = 3
text: A line and a parabola are tangent if they have one point of intersection only , which is the point at which they touch.
text: Now for the parabola to be tangent to the $x$-axis at the origin the constant term must vanish (since the origin is on the parabola) and the coefficient of $x$ must vanish since the tangent cone should be a multiple of $y$ alone