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Solve the quadratic equation.
If y = ax^2+bx+c then the intercepts are
x = [-b +/- sqrt(b^2 - 4ac)]/(2a).
The solutions are real if and only if b^2 >= 4ac
What else can I help you with?
Is a parabola a function?
Y = X2 ===== The graph of this parabola is crossed only at a point and once by a vertical line, so it is a function. Passes the vertical line test.
Can a parabola represent a function?
If a vertical line passes through the supposed function at only one spot then you have a function.
How do you find the equation of a parabola if you know the equation of the tangent that touches it?
You need more than one tangent to find the equation of a parabola.
What is the x coordinate of the vertex parabola defined by the following function 3x plus x plus 7x plus 4?
The given equation is not that of a parabola.
How do you tell if a quadratic function is minimum value or a maximum vale?
Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.
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.
How do you find the inverse of a parabola?
To find the inverse of a parabola, you first express the equation of the parabola in the form ( y = ax^2 + bx + c ). Then, you solve for ( x ) in terms of ( y ) to find ( x ) as a function of ( y ). Since a standard parabola is not one-to-one, restrict the domain to ensure the function is invertible. Finally, interchange ( x ) and ( y ) to get the inverse function, typically expressed as ( y = f^{-1}(x) ).
Is a parabola always a function?
Yes, it is.
What is another name for a quadratic function?
A 'Parabola'
Is a parabola a function?
Y = X2 ===== The graph of this parabola is crossed only at a point and once by a vertical line, so it is a function. Passes the vertical line test.
What name is given to the shape of a quadratic function?
A parabola
What is the name of the graph of a quadratic function?
The parabola
Why is any parabola that opens upward or downward a function?
It is a function because for every point on the horizontal axis, the parabola identified one and only one point in the vertical direction.
Is a parent function a parabola?
A parent function is a basic function that serves as a foundation for a family of functions. The quadratic function, represented by ( f(x) = x^2 ), is indeed a parent function that produces a parabola when graphed. However, there are other parent functions as well, such as linear functions and cubic functions, which produce different shapes. Therefore, while the parabola is one type of parent function, it is not the only one.
What is a parabola that opens to the right called?
It is a square root mapping. This is not a function since it is a one-to-many mapping.
A function wahose graph is parabola?
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
Where is the point on the parabola for the maximum area?
The point on the parabola where the maximum area occurs is at the vertex of the parabola. This is because the vertex represents the maximum or minimum point of a parabolic function.
