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Which quadratic function when graphed has x-intercept of 4 and -3?
(x - 4)(x + 3) foil y = x^2 - x - 12 ----------------------
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 function is the inverse of a quadratic function?
If the quadratic function is f(x) = ax^2 + bx + c then its inverse isf'(x) = [-b + +/- sqrt{b^2 - 4*(c - x)}]/(2a)
Is it possible for the graph of a quadratic function to have two y-intercepts?
Yes. A quadratic function can have 0, 1, or 2 x-intercepts, and 0, 1, or 2 y-intercepts.
What is a quadratic function is a function whose rule is a polynomial of degree what?
A polynomial of degree 2.
Definition of quadratic function?
A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. This function represents a parabolic shape when graphed.
Which quadratic function when graphed has x-intercept of 4 and -3?
(x - 4)(x + 3) foil y = x^2 - x - 12 ----------------------
What is the degree of a quadratic function?
A quadratic function will have a degree of two.
What is 2X squared minus 7X -4?
The expression (2X^2 - 7X - 4) is a quadratic polynomial in the variable (X). It represents a parabolic function when graphed, with a leading coefficient of 2 indicating that the parabola opens upwards. The roots of this polynomial can be found using the quadratic formula, and it can also be factored if possible.
Is a quadratic parent function a parabola?
Yes, a quadratic parent function is represented by the equation ( f(x) = x^2 ), which forms a parabola when graphed. This parabola opens upwards, has its vertex at the origin (0,0), and is symmetric about the y-axis. The shape of the parabola characterizes all quadratic functions, as they all exhibit similar parabolic behavior, though they may be transformed through shifts, stretches, or reflections.
Why is a quadratic function a function of x having the highest degree 2?
It follows from the definition of a quadratic funtcion.
Why is a quadratic function called a quadratic function?
A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.
What makes a function have a graph that is quadratic?
That the function is a quadratic expression.
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 is the name of the shape graphed by the function r^2 = 9cos(2theta)?
Lemniscate
What is the formula for quadratic function?
f(x) = ax^2 + bx + c, where a != 0 (for obvious reason: it wouldn't be a quadratic function)
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.
