Parabola's equations can be any second-order polynomial, but popular forms are:
Standard form for a parabola is y=Ax2+Bx+C
This is a very nice form for algebraic use, but physically, A B and C do not directly represent the shape of the curve
Vertex form: y=a(x-h)2+k
Often people use this because (h, k) would also be the location of the parabola's vertex. The a at the beginning represents the "wideness" (tight parabola's have high a values greater than one; wide parabola's have low a values less than one) and the direction of the parabola (negative a means it opens downward while a positive a mean it opens upwards)
Factored form: y=a(x-r)(y-s)
This form is very nice because it is factored, and it shows you the zeros of the function: r and s. a is the same as from the vertex form. This is less popular than other forms because some parabolas have imaginary numbers for r and s when in factored form, even if the parabola is made of completely real points.
A parabola equation cannot be answered since it is not a question!
You need more than one tangent to find the equation of a parabola.
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
An equation that when plotted produces a parabola is a quadratic equation of the form y = ax2 + bx + c where a, b and c are constants.
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
The answer depends on the form in which the equation of the parabola is given. For y^2 = 4ax the directrix is x = -2a.
0,0
The given terms can't be an equation without an equality sign but a negative parabola opens down wards whereas a positive parabola opens up wards.
The equation does not represent that of a parabola.
If the equation of the parabola isy = ax^2 + bx + c, then it opens above when a>0 and opens below when a<0. [If a = 0 then the equation describes a straight line, and not a parabola!].
5
the standard form of the equation of a parabola is x=y2+10y+22