Whenever we are given a quadratic equation, we can expect to find two zeros or roots which are basically values, which when substituted to the independent variable will result to zero. Whenever we have two distinct roots, we can be certain that the graph intersects the horizontal a...
What is the maximum possible value of the expression {eq}-t^2 + 8t -4? {/eq} Quadratic Equation - Vertex: A quadratic function has a graph of a parabola. A parabola can either be facing upwards or downwards. If it faces upwards then vertex is the minima...
function is y = f(x), which means y is a function of x. All the independent variable x terms of an equation are placed on the right side of the equation while the f(x), representing the dependent variable, goes on the left...
whereais not equal to 0, which can be used to solve complex math equations that attempt to evaluate missing factors in the equation by plotting them on a u-shaped figure called a parabola. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. ...
Discovering which polynomial degree each function represents will help mathematicians determine which type of function he or she is dealing with as each degree name results in a different form when graphed, starting with the special case of the polynomial with zero degrees. The other degrees are as...
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-...
The roots of a function are defined as where the functionf(x)touches the x-axis. The roots of functions are used to determine solutions to various equations. For example, a quadratic equation has two roots because its graph, the parabola, crosses the x-axis...
The graphs of y=2x^2 + 3kx and y=2 5x are drawn. What can you say about intersection point(s) between the graphs?A parabola passes through the points (-2,8), (0,2), and (1,5). What function does the graph represent?
At what values of x does the graph of y=(x−1)6(x−3)7 cross the x-axis? At what values is the graph tangent to the x-axis? Polynomial Functions: Let's say we have a polynomial function f(x)=(x−a)n⋅(x...
Polynomials of degree of 4 are referred to as quartic polynomials. A quartic's basic form is: f(x)=ax4+bx3+cx2+dx+e where a≠0 A quartic function is an even degree function and thus has a global maximum or minimum such that