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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
What else can I help you with?
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.
What are the slopes of the hyperbola's asymptotes?
If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.
What kind of functions have asymptotes?
Functions that exhibit asymptotes are typically rational functions, where the degree of the numerator and denominator determines the presence of vertical and horizontal asymptotes. Additionally, logarithmic functions and certain types of exponential functions can also have asymptotes. Vertical asymptotes occur where the function approaches infinity, while horizontal asymptotes indicate the behavior of the function as it approaches infinity. Overall, asymptotes characterize the end behavior and discontinuities of these functions.
What are the equation of the asymptotes for each graph?
that's simple an equation is settled of asymptotes so if you know the asymptotes... etc etc Need more help? write it
What are the three types of asymptotes?
Three types of asymptotes are oblique/slant, horizontal, and vertical
What is the point farthest up down to the right or to the left on a parabola on a half of a hyperbola?
The point farthest up, down, to the right, or to the left on a parabola that is part of a hyperbola depends on the specific orientation and equation of the hyperbola. For example, in the case of a hyperbola oriented horizontally, the branches extend infinitely to the left and right, while the vertex of the associated parabola will determine the maximum or minimum point vertically. Therefore, the exact coordinates would require knowing the specific equations involved. In general, the parabola's vertex will provide the extreme vertical points, while the asymptotes of the hyperbola will guide the horizontal extremes.
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
How many asymptotes does a ellipse have?
None.
What rhymes with asymptotes?
music notes
Does an ellipse have asymptotes?
ellipses do have asymptotes, but they are imaginary, so they are generally not considered asymptotes. If the equation of the ellipse is in the form a(x-h)^2 + b(y-k)^2 = 1 then the asymptotes are the lines a(y-k)+bi(x-h)=0 ai(y-k)+b(x-h)=0 the intersection of the asymptotes is the center of the ellipse.
Why are asymptotes important characteristics of rational functions?
Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.
How many non-verticle asymptotes can a rational function have?
Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,
How do you find the endpoints of a parabola when you have the function of the line?
A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.
