We introduce the vertex and axis of symmetry for a parabola and give a process for graphing parabolas. X x wmiaqd8ei rwoidt9ha jifnlfoivnuiftoe7 7a2lsgnesbmrdax 42z. I follow the pdf of the smartboard file properties of parabolas. In this graphing worksheet, students identify the vertex, axis of symmetry, and direction of the opening of a parabola. This 12 question worksheet algebra 2precalc level has students practicing with the properties of parabolas, circles, and ellipses.
Quadratic functions can be used to find the maximum power generated by the engine of a speedboat. State which direction the parabola opens and determine its vertex, focus, directrix, and axis of symmetry. Lt 5 i can graph quadratic functions in standard form using properties of quadratics. Parabola is a ushaped plane curve where any point is at an equal distance from a fixed point and from a fixed straight line. Graphing and properties of parabolas kuta software. Lt 7 i can identify key characteristics of quadratic functions including axis of symmetry, vertex, minmax, yintercept, xintercepts, domain and range. Calculate the vertex of the parabola using the equation. In this properties of parabolas worksheet, learners identify the vertex and the minimum and maximum value of each parabola. I will also be asking them to make predictions about adding a back into the equation. M b2 j0f1 81c kruftza 3 mseoofgt vwzadr tej zl6l hc5. Properties of a parabola worksheet for 8th 10th grade. Use the information provided to write the vertex form equation of each parabola. Graphing and properties of parabolas worksheet for 9th.
Ixl find properties of parabolas precalculus practice. This gives us the set of points for standard parabola guy. Parabola general equations, properties and practice. Worksheets are graphing and properties of parabolas, unit plan lesson 2 topic parabolas, properties of parabolas, properties of parabolas, properties of quadratic function, properties of quadratic function 1, unit 2 2 writing and graphing quadratics work, grade 10 functions.
Depending on how long the investigation section takes in class, some of these problems may be assigned. Characteristics of parabolas college algebra lumen learning. Properties of quadratic function math worksheets 4 kids. Book graphing quadratic functions worksheet answers. I recommend knowing how to sketch parabolas, ellipses, and hyperbolas by hand by understanding the basic properties of each. Showing top 8 worksheets in the category parabola properties. Some of the worksheets displayed are graphing and properties of parabolas, unit plan lesson 2 topic parabolas, properties of parabolas, properties of parabolas, properties of quadratic function, properties of quadratic function 1, unit 2 2 writing and graphing quadratics work, grade 10. You may select which properties to be identified from the equations.
Graphing and properties of parabolas worksheets lesson. Practice 52 properties of parabolas lt 5 i can graph quadratic functions in standard form using properties of quadratics. Graphing quadratics parabolas intro to graphing parabolas. It is intended for algebra 2 students, but will work. In my current school, almost all of my students need a fair amount of time to practice. Click on popout icon or print icon to worksheet to print or download. Identify a quadratic function written in general and. L p sm sa ldje v dwaibt dhu uirn pf4ian yitt ce5 ta 8lsg 8eobvr6a n t2 c.
At this point in the lesson, i assign students differentiated practice based on where they are. Graphing and properties of parabolas kuta software llc pages 1. It is the locus of a point which moves in a plane such that its distance from a fixed point is the same as its distance from a fixed line not containing the fixed point. When you transformed quadratic functions in the previous lesson, you saw that reflecting the parent function across the yaxis results in the same function.
Students need to be able to create equations of the conic section given specific properties and be able to use equations to. This graphing and properties of parabolas worksheet is suitable for 9th 12th grade. A parabola is the set of points in a plane that are the same distance from a given point and a given line in that plane. G 62 t0n1x2r zk iu kt jam osio gfwt7w fa lrie e hlhlyc j. Graphing and properties of parabolas kuta software llc. This exercise covers the graphs and properties of parabolas written in vertex form, standard form, and intercept form. After 10 to 15 minutes of work on this task, i bring the class together to discuss their findings.
Constructing viable arguments to be profi cient in math, you need to make conjectures and build logical progressions of statements to explore the truth of your conjectures. A a 0aqlylj drfi bg 8h7t oss xr 1eusxevr uvre id 3. Identify the vertex, axis of symmetry, latexylatexintercept, and minimum or maximum value of a parabola from its graph. The equation of any conic section can be written as. Free algebra 2 worksheets created with infinite algebra 2.
Algebra 2 properties of parabolas worksheets mathaids. Recognize characteristics of parabolas college algebra. Some of the worksheets for this concept are vertex form of parabolas, properties of parabolas, parabola vertex form word problems pdf, unit 2 2 writing and graphing quadratics work, sketch the graph of each plot at least 5 points, graphing parabolas given the vertex form of the equation, work 2, work quadratic functions. Identify the vertex, axis of symmetry, and direction. Improve your math knowledge with free questions in find properties of parabolas and thousands of other math skills. Infinite algebra 2 graphs of parabolas vertex form. To find maximum and minimum values of quadratic functions. You need to learn this shape and know these points cold. A worksheet like vertex form of parabolas may work well.
The special parabola y x2 has p 114, and other parabolas y ax2 have p 14a. Advanced algebra chapter 5 properties of parabolas 21 name class date practice 52 mixed exercises write the equation of the parabola shown. Identify a quadratic function written in general and vertex form. This algebra 2 worksheet will produce problems for properties of parabolas. This information is needed to sketch the graph and also allows to.
In this section were going to discuss the most important properties of parabola, also well show how to find its vertex, roots and intercepts. One important feature of the graph is that it has an extreme point, called the vertex. The graph of a quadratic function is a ushaped curve called a parabola. It turns a worksheet into an activity that encourages collaboration and problemsolving, while strengthening their knowledge of this unit. Students need to be able to create equations of the conic section given specific properties and be able to use equations to graph the conic sections as well. Ninth grade lesson properties of parabolas day 2 of 2. Give an equation of the parabola passing through 0. Identify the vertex, axis of symmetry, y y intercept, and minimum or maximum value of a parabola from its graph. If the parabola opens up, the vertex represents the lowest point on the graph. A parabola is a section of a right circular cone formed by cutting the cone by a plane parallel to the slant or the generator of the cone. F 92d0a1 k1z okeu ytta z dsdotf httwiadrse1 nl flacd. Worksheet pdf parabolas worksheet paintings catalogue pdf shorter version pdffree 25 question worksheet pdf with answer key on factoring quadratic equationsincludes 2 worked out model problems plus challenge problems. Lt 7 i can identify key characteristics of quadratic. Describe some of the properties of the focus of a parabola.
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