In analytical geometry, the roots of a parabola are the x-values (if any) for which y = 0.
A parabola is a 2-dimensional shape. A square root is a function whose arguments are numbers. The question does not make sense.
Yes, a parabola always has a vertex. However, it may not always have roots. The roots of a parabola are the x-values where the parabola intersects the x-axis. It is possible for a parabola to have two, one, or no roots depending on the discriminant of the quadratic equation.
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.
No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.
what are the effects of the sign a and n to the parabola
A parabola is a 2-dimensional shape. A square root is a function whose arguments are numbers. The question does not make sense.
It is a square root mapping. This is not a function since it is a one-to-many mapping.
Yes, a parabola always has a vertex. However, it may not always have roots. The roots of a parabola are the x-values where the parabola intersects the x-axis. It is possible for a parabola to have two, one, or no roots depending on the discriminant of the quadratic equation.
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.
If you only look at the value of the roots and not their multiplicity then the answer is yes.The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.
No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.
A parabola is NOT a point, it is the whole curve.
projectile motion
You mean, (+/-) sqrt(16) = 4 because - 42 = 16 and + 42 = 16 This graph would be a parabola.
A parabola opening up has a minimum, while a parabola opening down has a maximum.
what are the effects of the sign a and n to the parabola
Yes. think of a parabola that curves around the y-axis. an equation like x = square root of (y2 - 9) simply switch the x's and y's in the equation and your parabola opens up around the y-axis and the x-axis respectively