In these worksheets, students will learn to recognize what a parabola will look like on a graph when given its equation.

#### How to Graph Quadratic Functions? What are quadratic functions? Quadratic functions are the ones where the highest power of the variable is 2. You can even graph these functions and it is pretty simple. The general form of a quadratic function is given by; f(x) = ax2 + bx + c The basic curve of a quadratic function is a parabola. To graph such equations; you can take a similar approach as that of graphing a linear graph. You take random values of x and find the corresponding values of the function. You plot the values of x on the horizontal axis and the values of the function on the vertical axis. This is how you graph a quadratic function.

Your students will work with quadratic functions. When graphed, a quadratic function is a curve called a parabola. They will learn to determine the equation for a parabola based on studying its graph. The will learn how to find the equation of the symmetric axis of a given parabola. They will determine whether a parabola opens upwards or downward by studying the equation (without graphing), write equations of symmetry for parabolas, determine the coordinates of the vortex of given parabolas, and match equations for parabolas with their graphic representations. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. When finished with this set of worksheets, students will be able to recognize basic properties of a parabola by studying its equation. These worksheets explain how to determine what the graph of a parabola will look like when given its equation. Sample problems are solved and practice problems are provided.

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Find the equation of the symmetric axis of the given parabola. Every parabola has an axis of symmetry which is the line that runs down its center. This line divides the graph into two perfect halves. Here the vertices of the parabola are (0,-3). In the above figure the x = 0 is the equation of the symmetry axis which divides the graph in two equal parts.

## Lesson and Practice

Students will determine whether a parabola opens upwards or downward, without graphing it. A sample problem is solved and two practice problems are provided.

## Worksheet

Students will write equations of symmetry for given parabolas. Ten problems are provided.

## Practice

Students will practice determining whether a parabola goes upwards or downwards without graphing. Ten problems are provided.

## Drill

Students will determine the coordinates of the vortex of given parabolas and match graphs to the correct equations. Eight problems are provided.

## Warm Up

This is a good way to start to get to know this skill and work forward as a class. Three problems are provided.