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What is the connection between slope in a linear function and the a coefficient in a quadratic?
The slope of a linear function is the coefficient of the x term. The sign of this number will determine if the line increases as x increases, or decreases as x increases (slopes up or down). The magnitude of the slope determines how steep the line is (how fast it increases).
The coefficient of the x2 term in a quadratic function will tell you similar characteristics of the parabola. The sign will tell you if the parabola opens up or down. The magnitude of the coefficient tells you how steeply the graph changes.
What else can I help you with?
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
What is the difference between a quadratic equation and the Quadratic Formula?
A quadratic equation is any type of equation that can be represented as ax2 + bx + c. Example: x2 - 20x + 91 = 0. (a, b, c are known. They are the coefficients.) The coefficient of x2 is always a here. In this case, 1. The coefficient of x = b. In this case -20 (remember it's minus not plus). C is the constant. In this case that is 91. The quadratic formula is a straightforward (though it may seem complicated at first) formula which can solve any quadratic equation. http://bit.ly/1bBARRN There you have an image of the formula.
When the graph of a quadratic function crosses the x axis twice the x coordinate of the vertex lies between the two x intercepts?
that's true
Relationship between coefficient lift and coefficient drag?
For cylinders coefficient of lift is approximately half of coefficient of drag while they are equal for Aerofoils.
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
What is the difference between a linear and quadratic function?
A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.
What are the similarities between quadratic function and linear function?
Both are polynomials. They are continuous and are differentiable.
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
What are comparisons between a cubic and quadratic function?
They are both polynomial functions. A quadratic is of order 2 while a cubic is of order 3. A cubic MUST have a real root, a quadratic need not.
What is the significance of the connection coefficient in determining the strength of relationships between variables in a statistical model?
The connection coefficient is important in statistical models because it measures the strength and direction of the relationship between variables. A high connection coefficient indicates a strong relationship, while a low coefficient suggests a weak relationship. This helps researchers understand how changes in one variable may affect another, making it a crucial factor in analyzing and interpreting data.
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
How do you solve a quadratic inequality when the expression is unfactorable?
Use the quadratic formula for the equality. Then, depending on the coefficient of x2 and the nature of the inequality [>, ≥, ≤, <], determine whether you need the open or closed intervals between the roots or beyond the roots.
What is the difference between a quadratic equation and the Quadratic Formula?
A quadratic equation is any type of equation that can be represented as ax2 + bx + c. Example: x2 - 20x + 91 = 0. (a, b, c are known. They are the coefficients.) The coefficient of x2 is always a here. In this case, 1. The coefficient of x = b. In this case -20 (remember it's minus not plus). C is the constant. In this case that is 91. The quadratic formula is a straightforward (though it may seem complicated at first) formula which can solve any quadratic equation. http://bit.ly/1bBARRN There you have an image of the formula.
What is the nature of zeros in quadratic function?
Nature Of The Zeros Of A Quadratic Function The quantity b2_4ac that appears under the radical sign in the quadratic formula is called the discriminant.It is also named because it discriminates between quadratic functions that have real zeros and those that do not have.Evaluating the discriminant will determine whether the quadratic function has real zeros or not. The zeros of the quadratic function f(x)=ax2+bx+c can be expressed in the form S1= -b+square root of D over 2a and S2= -b-square root of D over 2a, where D=b24ac.... hope it helps... :p sorry for the square root! i know it looks like a table or something...
What is the difference between the function of the coefficient and the subscript in a balance equation?
The coefficient is a count of the number of molecules of each substance in a chemical process. The subscript is the number of atoms of an element in each molecule.
Is there a relationship between quadratic function and the real life?
How about the distance travelled when you are accelerating at a constant rate? eg falling under the influence of gravity?
