What are the values of a, b, and c in the quadratic function f(x) = -2x^2 + 4x - 3 if f(x) = ax^2 + bx + c? Give an example of a quadratic function. What is c in the standard form of a quadratic function? What is b in a quadratic equation? What is the quadratic eq...
x is the variable. The degree of the variable is two. The graph of a quadratic equation is a parabola. When the graph of a quadratic equation cuts the x-axis at two points, then these two points are known as the x-intercepts of the quadratic equation. The x...
What different information do you get from vertex form and quadratic equation in standard form? The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orient...
The numerator is linear (that is, it is of degree one) while the denimonator is quadratic (that is, it is of degree two). Since the degree is greater in the denominator, the asymptote will be a horizontal at y = 0; that is, the horizontal asymptote will be the x-axis....
Maximize y with respect to z (using the necessary and sufficient conditions): Hint: To solve a quadratic equation: , you need the following formula for solving x: Please define a function. How does one draw a line, y=ax+b? How does one draw a line...
is a function because y will always be one greater than x. Equations with exponents can also be functions. For example: y=x2−1y = x^2 - 1y=x2−1 is a function; although x-values of 1 and −1 give the same y-value (0), that is the only possible...
For \(\sqrt{q}\) to be in \(L\) it is apparently necessary that \(q\) is a quadratic residue modulo \(10^{n}\) for every \(n\), because in each step we have to find a \(n\)-digit natural number \(x\) with \(x^{2}\equiv q\;\;(\mathop{{\rm mod}}10^{n})\)...
What is parameter passing? Parameter passing involvespassing input parameters into a module(a function in C and a function and procedure in Pascal) and receiving output parameters back from the module. For example a quadratic equation module requires three parameters to be passed to it, these woul...
A function is nonlinear if any of the terms are higher than first order in any variable. For example, {eq}y = x^2 + 3x - 4 {/eq} is nonlinear because it contains a second-order, or quadratic, term. In a multivariable example, {eq}F(x, y, z) = 3x + yz {/eq} is ...
The domain of a quadratic function consists entirely of real numbers. If the vertex is a minimum, the range is all real numbers greater than or equal to they-value. If the vertex is a maximum, the range is all real numbers less than or equal to they-value. Anaxis of symmetry (also ...