0
let equation of parabola be y2=4ax , differentiate with respect to 'x' we get dy/dx=under root a/x . any asymptote touch the curve at infinity so put
limx->infinity dy/dx
we get dy/dx at infinite tends to zero
its means both ends of parabola behaves like a straight line separately
and asymptotes also a straight line.
hence two straight line never touches each other they cut or overlap with each other so parabola do not have asymptotes. submitted by:- mitesh kumar mishra
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Rafa
JudyAdd your answer:
Earn +20 pts
Parabola is the point at which the parabola is at its lowest or highest point?
A parabola is NOT a point, it is the whole curve.
The vertical of the function secant are determined by the points that are not in the domain?
Asymptotes
How do you find horizontal and vertical asymptotes?
finding vertical asymptotes is easy. lets use the equation y = (2x-2)/((x^2)-2x-3) since its a rational equation, all we have to do to find the vertical asymptotes is find the values at which the denominator would be equal to 0. since this makes it an undefined equation, that is where the asymptotes are. for this equation, -1 and 3 are the answers for the vertical ayspmtotes. the horizontal asymptotes are a lot more tricky. to solve them, simplify the equation if it is in factored form, then divide all terms both in the numerator and denominator with the term with the highest degree. so the horizontal asymptote of this equation is 0.
Where is the line of symmety located on a parabola?
The line of symmetry located on a parabola is right down the center. A parabola is a U shape. Depending on the direction of the parabola it either has a x axis of symmetry or y axis of symmetry. You should have two equal sides of the parabola.
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the of the vertex?
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the right of the vertex.
