Match the quadratic function f x to its characteristics. Characteristics of quadratics worksheet coach forrester. Chapter 9 quadratic functions and equations chapter 10 data analysis and probabliity chapter 11 exponential and radical functions chapter 12 rational functions and equations. Every quadratic function has a ushaped graph called a. Below is a you tube video about finding the min or max value of a function in standard form using x coordinate of vertex using x b2a. Holt mcdougal algebra 1 8 2 characteristics of quadratic. Characteristics of quadratic functions fill in the blanks and the y column of the chart. Holt mcdougal algebra 1 82 characteristics of quadratic functions a vertical line that divides a parabola into two symmetrical halves is the axis of symmetry.
Characteristics of quadratic functions answer key pdf best of all, they are entirely free to find, use and download, so there is no cost or stress at all. Characteristics of quadratic functions onlinemath4all. The vertex of a parabola is the point where the parabola crosses its axis of symmetry. Atertical line at the parabo the axis of symmetry passes throuwh the vertex. Minimummaximum the lowest or highest yvalue of the function. Students will be able to find the zeros of a quadratic function from its graph, and find the axis of symmetry and the vertex of the parabola. Identifying the zeros of a quadratic function, finding axis of symmetry and the vertex. Properties of quadratic function math worksheets 4 kids. The graph of a quadratic function has a characteristic shape called a parabola. The vertex of the parabola is the highest or lowest point also known as maximum value or minimum value of the parabola. Characteristics of quadratic functions worksheet answers if you find a template that you would like to use, you may also doubleclick on the template thumbnail to open it and start customizing it immediately. Match the quadratic function fx to its characteristics. This pdf document has examples of application quadratic problems and the answers. In this unit, students will generate a quadratic function as a product of two.
You will discover a number of the templates are completely free to use and others call for a premium account. For each quadratic function, find the axis of symmetry of. Graph equation in standard form vertex of the parabola identify if vertex is the maximum or minimum zeros of the equationsuggestion. Characteristics of quadratic functions vertex the highest or lowest point of a quadratic function. The interval of decrease is characteristics of quadratic functions. Traditionally the quadratic function is not explored in grade 9 in south african schools. Pdf key concepts of quadratic functions and inequalities first. Determine the equation of the axis of symmetry, the coordinates of the vertex, the x and y intercepts 2. Graphs of quadratic functions boundless algebra lumen learning.
This file contains one handout detailing the characteristics of the quadratic parent function. This class is algebra 1 wsupport and is part of curriculum where students will see algebra 1 everyday. Demonstrate an understanding of the characteristics of quadratic functions, including. Identify the values of a, b, and c in the quadratic function y 3 x2. Interpreting key features of quadratic functions 11 evenodd function functions can be defined as odd or even based on the output yielded when evaluating the function for x. Zero of a function for the function f, any number such that fx 0 recall that in a linear function, the xintercept is where the line crosses the xaxis and the y 0. Learn vocabulary, terms, and more with flashcards, games, and other study tools. To print to fit in students inb, print pages 23 at 85% of the actu. Characteristics of quadratic functions by rath loeung on prezi. The basic parabola has a number of important properties. Xintercept the ordered pair in which the function crosses the xaxis. Each quadratic functions will have some characteristics.
An xintercept of a graph is the xcoordinate of a point where the graph. Characteristics of quadratic functions worksheet answers. Physicists use quadratic equations to describe the motion of falling objects, such as water over a waterfall. The shape of the graph of a quadratic function is called a parabola. This core resource focuses on how we can distinguish quadratic functions from linear and exponential functions based on their properties when represented as sequences, tables, graphs, and using rate of change to find intervals of a function that are increasing, decreasing, positive, negative, and symmetry of a function if any. Quadratic functions identifying key features of quadratic graphs. The student understands there is more than one way to solve a quadratic equation and solves them using appropriate methods. There are other methods but we wont go into them here. The domain of a quadratic function is all real numbers. In graphs of quadratic functions, the sign on the coefficient a affects whether the graph opens up or down. Powered by create your own unique website with customizable templates. Characteristics of quadratic functions find the zeros of each quadratic function from its graph. Start studying characteristics of quadratic functions. Vocabulary match each term on the left with a definition on the right.
Determine the quadratic function, in vertex form, for the given graph. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. Improve your math knowledge with free questions in characteristics of quadratic functions. A quadratic function is any function that can be written in the standard form. Axis of symmetry the line in which the graph looks like a mirror image of itself. Here is a video with some examples and explanation of quadratic functions. Homework is the transformation show what you know worksheet below. Characteristics of linear function free pdf file sharing. You can use the zeros to find the axis of symmetry. Zeroes of a quadratic function and xintercepts are same. If you draw the graph for a quadratic equation, you can get the shape parabola.
Quadratic functions key features identifying key features. We can get the zeroes of a quadratic function by applying y 0. Quadratic functions frequently appears when solving a variety of problems. For now, use your calculators calculate zeros 2nd calc, zeros.
Feb 24, 2014 identifying the zeros of a quadratic function, finding axis of symmetry and the vertex. Vertex the highest or lowest point of a quadratic function. Characteristics of quadratic functions flashcards quizlet. The graph of a quadratic function is a ushaped curve called a parabola. Graphs of quadratic functions have a general shape called a parabola. Algebra the quadratic function stellenbosch university. The ycoordinate of the vertex is the minimum value of the function. Determine the axis of symmetry for the quadratic relations with the following characteristics. The student understands that the graphs of quadratic functions are affected by the parameters of the function and can interpret and describe the effects of changes in the parameters of quadratic functions. The axis of symmetry always passes through the vertex of the parabola. This handouts could be enlarged and used as a poster which gives the students the opportunity to put the different features of the quadratic function together. Modeling with mathematics flying fish use their pectoral fins like airplane wings to glide through the air. The ycoordinate of the vertex is the maximum value of the function. Determine whether the quadratic functions have two real roots, one real root, or no real.
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