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Parabola worksheets pdf Parabola worksheets pdf Parabola worksheets pdf DOWNLOAD! J��F5E�_|������AI\��@8)���� If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. $�$����w�l$H�H(�� 1 !rH�na`bd0 �I#�3|0 [` 5 Also, download the parabola PDF … Notice that, for parabolas with two $x$-intercepts, the vertex always falls between the roots. A parabola can have no x-intercepts, one x-intercept, or two x-intercepts. 7) x x y 8) y x y Use the information provided to write the transformational form equation of each parabola. A Graphical Interpretation of Quadratic Solutions. heƞ33�c�3PCA�PD-��7io��L�UHV#k��q7����J�2��^7)� ����ʧ��{w�HӬ�Z��зr6�NNp4�џ$+��U�\$�E�~'���A�o���8B����x��!4wx�����KuWI��$ y�S�wz���W�R�p/y���ټBZZ|�j�� ��,���3�/��-^;��!f���'�4{��+��I^�a��F��1�7�. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In a given function, the values of $x$ at which $y=0$, also called roots.

Properties of Parabolas.Graphing Quadratics Review Worksheet. y-intercept is the y-value where the parabola intersects the y-axis. If $a<0$, the graph makes a frown (opens down) and if $a>0$ then the graph makes a smile (opens up). 40 0 obj <>/Filter/FlateDecode/ID[<5AA9E38D8C74B69A2FE79F649D7F707A>]/Index[25 28]/Info 24 0 R/Length 81/Prev 40837/Root 26 0 R/Size 53/Type/XRef/W[1 2 1]>>stream endstream endobj 26 0 obj <> endobj 27 0 obj <> endobj 28 0 obj <>stream The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function. This webpage comprises a variety of topics like identifying zeros from the graph, writing quadratic function of the parabola, graphing quadratic function by completing the function table, identifying various properties of a parabola, and a plethora of MCQs.

Axis of Symmetry is the vertical line that passes through the vertex and divides the parabola into two mirror images. A vertical line drawn through the vertex of a parabola around which the parabola is symmetric. Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane. Parabola is the graph of a quadratic function. There cannot be more than one such point, for the graph of a quadratic function. Identify the shape of a graphed quadratic equation as a parabola and indicate its parts. Use this ensemble of printable worksheets to assess student's cognition of Graphing Quadratic Functions. One important feature of the parabola is that it has an extreme point, called the vertex. hޜU�n�@��}lUѽߤ(�! -2- Worksheet by Kuta Software LLC Identify the vertex, focus, axis of symmetry, directrix, direction of opening, min/max value, length of the latus rectum, and the x- and y-intercepts of each. This is shown below. 191 0 obj <>stream 0 The x-intercepts are the points at which the parabola crosses the x-axis. 25 0 obj <> endobj In either case, the vertex is a turning point on the graph. %PDF-1.5 %���� Circle if it is a max or a min. h�bbd``b`Z$�� ��H0����1H� �`� ��@� �R+�-H\9���Ȱ�e`$���x�@� T� 1��� S�� � ^L` If there were, the curve would not be a function, as there would be two $y$ values for one $x$ value, at zero. Except where noted, content and user contributions on this site are licensed under CC BY-SA 4.0 with attribution required. There may be zero, one, or two $x$-intercepts.

The sign on the coefficient $a$ determines the direction of the parabola.Â. The graph of a quadratic function is a parabola. ��4�̬(1�6�'vWV�4�K.�ɌM�g�A��5p���Q�3R�d�lkʊ}�l�n�2�5���X���X���u�eUm���. where $a$, $b$, and $c$ are constants, and $a\neq 0$. Vertex of a parabola is the highest or the lowest point on the graph. DIRECT DOWNLOAD!

Name_____ Parabola Review ( 9.1) For each parabola, label all parts on the curve. Parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point and from a fixed straight line. Recall that a quadratic function has the form.

If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

These are the same roots that are observable as the $x$-intercepts of the parabola. h�bbd``b`:$[AD����H�+ The graph of a quadratic function is a U-shaped curve called a parabola.Â This shape is shown below. %%EOF The number of $x$-intercepts varies depending upon the location of the graph (see the diagram below). In graphs of quadratic functions, the sign on the coefficient $a$ affects whether the graph opens up or down. The worksheet has a vocabulary section, a section in which students identify the parts from a graph, and a section in which students identify the parts … Parabola worksheets pdf Kuta Software - Infinite Algebra 2. 1) y = x2 + 16 x + 64 2) y = 2x2 − 4x − 2 3) y = −x2 + 18 x − 75 4) y = −3x2 + 12 x − 10 Graph each equation. Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. Parabolas also have an axis of symmetry, which is parallel to the y-axis. The y-intercept is the point at which the parabola crosses the y-axis. %%EOF Fill in the Use the.Kuta Software - Infinite Algebra 2. 5) y = x2 − 2x − 3 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 6) y = −x2 − 6x − 10 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 Identify the … !E %PDF-1.5 %����

Due to the fact that parabolas are symmetric, the $x$-coordinate of the vertex is exactly in the middle of the $x$-coordinates of the two roots. h�b```c``�d`a`h�f`@ �+s,p�9�� mS� fx,&8:`�(/��d}��iPf�c����Ͱ[�cr����� �3�YW���b���n �4W� h�b```f``2f`a`����ǀ |@ �X�p� �����=¯����a�`�`��`��Jup10;�y��lF8/Ӌ�G��-�\Ң��xR������`AZ�����!�� � ]<

The solutions to the equation are called the roots of the function. The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

endstream endobj startxref 9) Vertex: ( , ), Focus: ( , ) 10) Vertex: ( , ), Focus: ( .. 52 0 obj <>stream ��6�"\UcGؑ����ڐ�` If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of $x$ at which $y=0$. 0 One important feature of the parabola is that it has an extreme point, called the vertex. PDF (269.86 KB) I created this worksheet to teach my students the basic parts of the parabola: vertex, axis of symmetry, and roots/zeroes. @�uB~�s"�8� �����\�/@*\��`���&1�шoA�9���lT�f3IAp �������9�iU.m�l:��~6�~�|���4�5� ���d�=�l���C&��:���K]�b�������OO�s6�Nԓ"`�=�� Q�L ���M���f�F�p���}�I�s+�K7�Y Identify the vertex of each. The axis of symmetry is a vertical line drawn through the vertex. endstream endobj startxref hV[o�0�+���|�s�*$ZJ�4:u�!�F endstream endobj 162 0 obj <>/Metadata 20 0 R/PageLayout/OneColumn/Pages 159 0 R/StructTreeRoot 37 0 R/Type/Catalog>> endobj 163 0 obj <>/ExtGState<>/Font<>/XObject<>>>/Rotate 0/StructParents 0/Tabs/S/Type/Page>> endobj 164 0 obj <>stream In either case, the vertex is a turning point on the graph.Â.

Fill in each blank using the word bank. x-intercepts are the x-values where the parabola intersects the x-axis. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. 179 0 obj <>/Filter/FlateDecode/ID[<40DD8C537168584A93847F7D73FB3F43>]/Index[161 31]/Info 160 0 R/Length 91/Prev 154072/Root 162 0 R/Size 192/Type/XRef/W[1 2 1]>>stream

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