Remember that this happens when the discriminant (the term b 2 – 4ac under the radical) in the quadratic formula is negative. The name Quadratic comes from 'quad' meaning square, because the variable gets squared (like x 2). It is possible for a quadratic function to have no x-intercepts (also called zeros) if the corresponding quadratic equation has no real solutions. An example of a Quadratic Equation: The function makes nice curves like this one: Name. The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Can A Quadratic Function Have No X-Intercepts? Let’s start off with a question concerning the solutions (or roots or zeros) of a quadratic function. Some functions will shift upward or downward, open wider or more narrow, boldly rotate 180 degrees, or a combination of the above. The children are transformations of the parent. Here are a few quadratic functions: y x2 - 5. Quadratic functions raise lots of questions about the nature of their solutions, the appearance of their graphs, and their extreme (maximum and minimum values). The equation for the quadratic parent function is. We’ll also look at some graphs to illustrate some of the ideas. They describe the path of a ball in flight, represent a cross section of a headlight’s reflector, and enable business people to forecast sales. In this article, we’ll talk about quadratic functions in the context of 8 common questions about them. Quadratic functions model a number of real-world situations. However, we can classify these into a few cases without too much trouble. Of course, there are lots of difference scenarios for the graphs of quadratic functions (parabolas). No quadratic function has a negative exponent. A quadratic function on a restricted domain can have an inverse and also both a maximum & minimum. So, what is there to know about quadratic functions? A quadratic function has 0, 1, or 2 x-intercepts, and it has the graph of a parabola that opens up or down, not a straight line or periodic function. This axis of symmetry can be calculated using the formula: x The vertex is the point found on the axis of symmetry.

However, there are some common questions about quadratic functions that it helps to know the answers to. Quadratic functions are symmetric about a vertical axis of symmetry. Quadratic functions are used in math and science to model various natural phenomena (such as the height of falling objects).

Quadratic function definition